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Finding the Third Proportional to 256,553,321.63 and 560,132,948.25

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Solution

The third proportional to 256,553,321.63 and 560,132,948.25 is: 1,222,938,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553,321.63 : 560,132,948.25 = 560,132,948.25 : x
  2. Step 2: Convert to fraction form
    256,553,321.63/560,132,948.25 = 560,132,948.25/x
  3. Step 3: Cross multiply
    256,553,321.63x = 560,132,948.25 × 560,132,948.25
  4. Step 4: Simplify right side
    256,553,321.63x = 313,748,919,715,237,184
  5. Step 5: Solve for x
    x = 313,748,919,715,237,184/256,553,321.63
  6. Step 6: Final answer
    x = 1,222,938,443.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.