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Finding the Third Proportional to 482,393 and 709,136

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Solution

The third proportional to 482,393 and 709,136 is: 1,042,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,393 : 709,136 = 709,136 : x
  2. Step 2: Convert to fraction form
    482,393/709,136 = 709,136/x
  3. Step 3: Cross multiply
    482,393x = 709,136 × 709,136
  4. Step 4: Simplify right side
    482,393x = 502,873,866,496
  5. Step 5: Solve for x
    x = 502,873,866,496/482,393
  6. Step 6: Final answer
    x = 1,042,456.81

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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.