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Finding the Third Proportional to 440,680.50 and 659,350.13

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Solution

The third proportional to 440,680.50 and 659,350.13 is: 986,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,680.50 : 659,350.13 = 659,350.13 : x
  2. Step 2: Convert to fraction form
    440,680.50/659,350.13 = 659,350.13/x
  3. Step 3: Cross multiply
    440,680.50x = 659,350.13 × 659,350.13
  4. Step 4: Simplify right side
    440,680.50x = 434,742,587,337.52
  5. Step 5: Solve for x
    x = 434,742,587,337.52/440,680.50
  6. Step 6: Final answer
    x = 986,525.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.