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Finding the Third Proportional to 451,870,726.50 and 698,255,498.25

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Solution

The third proportional to 451,870,726.50 and 698,255,498.25 is: 1,078,982,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870,726.50 : 698,255,498.25 = 698,255,498.25 : x
  2. Step 2: Convert to fraction form
    451,870,726.50/698,255,498.25 = 698,255,498.25/x
  3. Step 3: Cross multiply
    451,870,726.50x = 698,255,498.25 × 698,255,498.25
  4. Step 4: Simplify right side
    451,870,726.50x = 487,560,740,836,355,776
  5. Step 5: Solve for x
    x = 487,560,740,836,355,776/451,870,726.50
  6. Step 6: Final answer
    x = 1,078,982,798.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.