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Finding the Third Proportional to 482,557 and 709,785

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Solution

The third proportional to 482,557 and 709,785 is: 1,044,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,557 : 709,785 = 709,785 : x
  2. Step 2: Convert to fraction form
    482,557/709,785 = 709,785/x
  3. Step 3: Cross multiply
    482,557x = 709,785 × 709,785
  4. Step 4: Simplify right side
    482,557x = 503,794,746,225
  5. Step 5: Solve for x
    x = 503,794,746,225/482,557
  6. Step 6: Final answer
    x = 1,044,010.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.