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Finding the Third Proportional to 440,903.25 and 659,641.13

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Solution

The third proportional to 440,903.25 and 659,641.13 is: 986,897.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,903.25 : 659,641.13 = 659,641.13 : x
  2. Step 2: Convert to fraction form
    440,903.25/659,641.13 = 659,641.13/x
  3. Step 3: Cross multiply
    440,903.25x = 659,641.13 × 659,641.13
  4. Step 4: Simplify right side
    440,903.25x = 435,126,413,791.27
  5. Step 5: Solve for x
    x = 435,126,413,791.27/440,903.25
  6. Step 6: Final answer
    x = 986,897.72

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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.