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Finding the Third Proportional to 462,082.50 and 686,346.75

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Solution

The third proportional to 462,082.50 and 686,346.75 is: 1,019,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,082.50 : 686,346.75 = 686,346.75 : x
  2. Step 2: Convert to fraction form
    462,082.50/686,346.75 = 686,346.75/x
  3. Step 3: Cross multiply
    462,082.50x = 686,346.75 × 686,346.75
  4. Step 4: Simplify right side
    462,082.50x = 471,071,861,235.56
  5. Step 5: Solve for x
    x = 471,071,861,235.56/462,082.50
  6. Step 6: Final answer
    x = 1,019,454.02

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Why These Related Problems?

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