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Finding the Third Proportional to 775,372.50 and 1,132,983

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Solution

The third proportional to 775,372.50 and 1,132,983 is: 1,655,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,372.50 : 1,132,983 = 1,132,983 : x
  2. Step 2: Convert to fraction form
    775,372.50/1,132,983 = 1,132,983/x
  3. Step 3: Cross multiply
    775,372.50x = 1,132,983 × 1,132,983
  4. Step 4: Simplify right side
    775,372.50x = 1,283,650,478,289
  5. Step 5: Solve for x
    x = 1,283,650,478,289/775,372.50
  6. Step 6: Final answer
    x = 1,655,527.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.