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Finding the Third Proportional to 424,312,909.50 and 633,856,323.75

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Solution

The third proportional to 424,312,909.50 and 633,856,323.75 is: 946,881,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,312,909.50 : 633,856,323.75 = 633,856,323.75 : x
  2. Step 2: Convert to fraction form
    424,312,909.50/633,856,323.75 = 633,856,323.75/x
  3. Step 3: Cross multiply
    424,312,909.50x = 633,856,323.75 × 633,856,323.75
  4. Step 4: Simplify right side
    424,312,909.50x = 401,773,839,157,864,832
  5. Step 5: Solve for x
    x = 401,773,839,157,864,832/424,312,909.50
  6. Step 6: Final answer
    x = 946,881,016.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.