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Finding the Third Proportional to 733,972.50 and 1,134,357.75

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Solution

The third proportional to 733,972.50 and 1,134,357.75 is: 1,753,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,972.50 : 1,134,357.75 = 1,134,357.75 : x
  2. Step 2: Convert to fraction form
    733,972.50/1,134,357.75 = 1,134,357.75/x
  3. Step 3: Cross multiply
    733,972.50x = 1,134,357.75 × 1,134,357.75
  4. Step 4: Simplify right side
    733,972.50x = 1,286,767,504,985.06
  5. Step 5: Solve for x
    x = 1,286,767,504,985.06/733,972.50
  6. Step 6: Final answer
    x = 1,753,154.93

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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.