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Finding the Third Proportional to 465,404 and 746,696

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Solution

The third proportional to 465,404 and 746,696 is: 1,198,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,404 : 746,696 = 746,696 : x
  2. Step 2: Convert to fraction form
    465,404/746,696 = 746,696/x
  3. Step 3: Cross multiply
    465,404x = 746,696 × 746,696
  4. Step 4: Simplify right side
    465,404x = 557,554,916,416
  5. Step 5: Solve for x
    x = 557,554,916,416/465,404
  6. Step 6: Final answer
    x = 1,198,001.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.