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Finding the Third Proportional to 257,469 and 560,706

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Solution

The third proportional to 257,469 and 560,706 is: 1,221,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469 : 560,706 = 560,706 : x
  2. Step 2: Convert to fraction form
    257,469/560,706 = 560,706/x
  3. Step 3: Cross multiply
    257,469x = 560,706 × 560,706
  4. Step 4: Simplify right side
    257,469x = 314,391,218,436
  5. Step 5: Solve for x
    x = 314,391,218,436/257,469
  6. Step 6: Final answer
    x = 1,221,083.77

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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.