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Finding the Third Proportional to 482,332 and 709,062

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Solution

The third proportional to 482,332 and 709,062 is: 1,042,371.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,332 : 709,062 = 709,062 : x
  2. Step 2: Convert to fraction form
    482,332/709,062 = 709,062/x
  3. Step 3: Cross multiply
    482,332x = 709,062 × 709,062
  4. Step 4: Simplify right side
    482,332x = 502,768,919,844
  5. Step 5: Solve for x
    x = 502,768,919,844/482,332
  6. Step 6: Final answer
    x = 1,042,371.06

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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.