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Finding the Third Proportional to 391,682 and 528,472

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Solution

The third proportional to 391,682 and 528,472 is: 713,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,682 : 528,472 = 528,472 : x
  2. Step 2: Convert to fraction form
    391,682/528,472 = 528,472/x
  3. Step 3: Cross multiply
    391,682x = 528,472 × 528,472
  4. Step 4: Simplify right side
    391,682x = 279,282,654,784
  5. Step 5: Solve for x
    x = 279,282,654,784/391,682
  6. Step 6: Final answer
    x = 713,034.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.