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Finding the Third Proportional to 256,365 and 560,975.63

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Solution

The third proportional to 256,365 and 560,975.63 is: 1,227,521.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,365 : 560,975.63 = 560,975.63 : x
  2. Step 2: Convert to fraction form
    256,365/560,975.63 = 560,975.63/x
  3. Step 3: Cross multiply
    256,365x = 560,975.63 × 560,975.63
  4. Step 4: Simplify right side
    256,365x = 314,693,651,844.14
  5. Step 5: Solve for x
    x = 314,693,651,844.14/256,365
  6. Step 6: Final answer
    x = 1,227,521.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.