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Finding the Third Proportional to 256,450,442 and 604,781,427

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Solution

The third proportional to 256,450,442 and 604,781,427 is: 1,426,242,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,450,442 : 604,781,427 = 604,781,427 : x
  2. Step 2: Convert to fraction form
    256,450,442/604,781,427 = 604,781,427/x
  3. Step 3: Cross multiply
    256,450,442x = 604,781,427 × 604,781,427
  4. Step 4: Simplify right side
    256,450,442x = 365,760,574,444,156,352
  5. Step 5: Solve for x
    x = 365,760,574,444,156,352/256,450,442
  6. Step 6: Final answer
    x = 1,426,242,714.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.