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Finding the Third Proportional to 493,566 and 746,424

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Solution

The third proportional to 493,566 and 746,424 is: 1,128,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,566 : 746,424 = 746,424 : x
  2. Step 2: Convert to fraction form
    493,566/746,424 = 746,424/x
  3. Step 3: Cross multiply
    493,566x = 746,424 × 746,424
  4. Step 4: Simplify right side
    493,566x = 557,148,787,776
  5. Step 5: Solve for x
    x = 557,148,787,776/493,566
  6. Step 6: Final answer
    x = 1,128,823.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.