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Finding the Third Proportional to 733,423.50 and 1,166,962.50

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Solution

The third proportional to 733,423.50 and 1,166,962.50 is: 1,856,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,423.50 : 1,166,962.50 = 1,166,962.50 : x
  2. Step 2: Convert to fraction form
    733,423.50/1,166,962.50 = 1,166,962.50/x
  3. Step 3: Cross multiply
    733,423.50x = 1,166,962.50 × 1,166,962.50
  4. Step 4: Simplify right side
    733,423.50x = 1,361,801,476,406.25
  5. Step 5: Solve for x
    x = 1,361,801,476,406.25/733,423.50
  6. Step 6: Final answer
    x = 1,856,773.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.