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Finding the Third Proportional to 762,708 and 1,034,682.75

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Solution

The third proportional to 762,708 and 1,034,682.75 is: 1,403,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,708 : 1,034,682.75 = 1,034,682.75 : x
  2. Step 2: Convert to fraction form
    762,708/1,034,682.75 = 1,034,682.75/x
  3. Step 3: Cross multiply
    762,708x = 1,034,682.75 × 1,034,682.75
  4. Step 4: Simplify right side
    762,708x = 1,070,568,393,147.56
  5. Step 5: Solve for x
    x = 1,070,568,393,147.56/762,708
  6. Step 6: Final answer
    x = 1,403,641.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.