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Finding the Third Proportional to 440,864.25 and 659,585.25

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Solution

The third proportional to 440,864.25 and 659,585.25 is: 986,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,864.25 : 659,585.25 = 659,585.25 : x
  2. Step 2: Convert to fraction form
    440,864.25/659,585.25 = 659,585.25/x
  3. Step 3: Cross multiply
    440,864.25x = 659,585.25 × 659,585.25
  4. Step 4: Simplify right side
    440,864.25x = 435,052,702,017.56
  5. Step 5: Solve for x
    x = 435,052,702,017.56/440,864.25
  6. Step 6: Final answer
    x = 986,817.83

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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.