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Finding the Third Proportional to 410,791,657.50 and 636,306,458.25

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Solution

The third proportional to 410,791,657.50 and 636,306,458.25 is: 985,623,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,791,657.50 : 636,306,458.25 = 636,306,458.25 : x
  2. Step 2: Convert to fraction form
    410,791,657.50/636,306,458.25 = 636,306,458.25/x
  3. Step 3: Cross multiply
    410,791,657.50x = 636,306,458.25 × 636,306,458.25
  4. Step 4: Simplify right side
    410,791,657.50x = 404,885,908,810,659,008
  5. Step 5: Solve for x
    x = 404,885,908,810,659,008/410,791,657.50
  6. Step 6: Final answer
    x = 985,623,494.10

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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.