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Finding the Third Proportional to 634,257 and 869,737.50

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Solution

The third proportional to 634,257 and 869,737.50 is: 1,192,644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,257 : 869,737.50 = 869,737.50 : x
  2. Step 2: Convert to fraction form
    634,257/869,737.50 = 869,737.50/x
  3. Step 3: Cross multiply
    634,257x = 869,737.50 × 869,737.50
  4. Step 4: Simplify right side
    634,257x = 756,443,318,906.25
  5. Step 5: Solve for x
    x = 756,443,318,906.25/634,257
  6. Step 6: Final answer
    x = 1,192,644.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.