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Finding the Third Proportional to 493,926 and 744,785

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Solution

The third proportional to 493,926 and 744,785 is: 1,123,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,926 : 744,785 = 744,785 : x
  2. Step 2: Convert to fraction form
    493,926/744,785 = 744,785/x
  3. Step 3: Cross multiply
    493,926x = 744,785 × 744,785
  4. Step 4: Simplify right side
    493,926x = 554,704,696,225
  5. Step 5: Solve for x
    x = 554,704,696,225/493,926
  6. Step 6: Final answer
    x = 1,123,052.23

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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.