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Finding the Third Proportional to 869,287.50 and 1,329,759

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Solution

The third proportional to 869,287.50 and 1,329,759 is: 2,034,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,287.50 : 1,329,759 = 1,329,759 : x
  2. Step 2: Convert to fraction form
    869,287.50/1,329,759 = 1,329,759/x
  3. Step 3: Cross multiply
    869,287.50x = 1,329,759 × 1,329,759
  4. Step 4: Simplify right side
    869,287.50x = 1,768,258,998,081
  5. Step 5: Solve for x
    x = 1,768,258,998,081/869,287.50
  6. Step 6: Final answer
    x = 2,034,147.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.