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Finding the Third Proportional to 493,706,205 and 724,192,358.91

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Solution

The third proportional to 493,706,205 and 724,192,358.91 is: 1,062,280,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,706,205 : 724,192,358.91 = 724,192,358.91 : x
  2. Step 2: Convert to fraction form
    493,706,205/724,192,358.91 = 724,192,358.91/x
  3. Step 3: Cross multiply
    493,706,205x = 724,192,358.91 × 724,192,358.91
  4. Step 4: Simplify right side
    493,706,205x = 524,454,572,698,198,784
  5. Step 5: Solve for x
    x = 524,454,572,698,198,784/493,706,205
  6. Step 6: Final answer
    x = 1,062,280,699.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.