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Finding the Third Proportional to 410,527.13 and 653,734.13

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Solution

The third proportional to 410,527.13 and 653,734.13 is: 1,041,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,527.13 : 653,734.13 = 653,734.13 : x
  2. Step 2: Convert to fraction form
    410,527.13/653,734.13 = 653,734.13/x
  3. Step 3: Cross multiply
    410,527.13x = 653,734.13 × 653,734.13
  4. Step 4: Simplify right side
    410,527.13x = 427,368,306,189.52
  5. Step 5: Solve for x
    x = 427,368,306,189.52/410,527.13
  6. Step 6: Final answer
    x = 1,041,023.31

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Why These Related Problems?

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