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Finding the Third Proportional to 425,701.13 and 659,207.25

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Solution

The third proportional to 425,701.13 and 659,207.25 is: 1,020,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,701.13 : 659,207.25 = 659,207.25 : x
  2. Step 2: Convert to fraction form
    425,701.13/659,207.25 = 659,207.25/x
  3. Step 3: Cross multiply
    425,701.13x = 659,207.25 × 659,207.25
  4. Step 4: Simplify right side
    425,701.13x = 434,554,198,452.56
  5. Step 5: Solve for x
    x = 434,554,198,452.56/425,701.13
  6. Step 6: Final answer
    x = 1,020,796.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.