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Finding the Third Proportional to 482,792 and 709,399

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Solution

The third proportional to 482,792 and 709,399 is: 1,042,368.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,792 : 709,399 = 709,399 : x
  2. Step 2: Convert to fraction form
    482,792/709,399 = 709,399/x
  3. Step 3: Cross multiply
    482,792x = 709,399 × 709,399
  4. Step 4: Simplify right side
    482,792x = 503,246,941,201
  5. Step 5: Solve for x
    x = 503,246,941,201/482,792
  6. Step 6: Final answer
    x = 1,042,368.02

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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.