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Finding the Third Proportional to 399,613.50 and 869,737.50

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Solution

The third proportional to 399,613.50 and 869,737.50 is: 1,892,937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,613.50 : 869,737.50 = 869,737.50 : x
  2. Step 2: Convert to fraction form
    399,613.50/869,737.50 = 869,737.50/x
  3. Step 3: Cross multiply
    399,613.50x = 869,737.50 × 869,737.50
  4. Step 4: Simplify right side
    399,613.50x = 756,443,318,906.25
  5. Step 5: Solve for x
    x = 756,443,318,906.25/399,613.50
  6. Step 6: Final answer
    x = 1,892,937.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.