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Finding the Third Proportional to 752,359.13 and 1,166,265

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Solution

The third proportional to 752,359.13 and 1,166,265 is: 1,807,878.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,359.13 : 1,166,265 = 1,166,265 : x
  2. Step 2: Convert to fraction form
    752,359.13/1,166,265 = 1,166,265/x
  3. Step 3: Cross multiply
    752,359.13x = 1,166,265 × 1,166,265
  4. Step 4: Simplify right side
    752,359.13x = 1,360,174,050,225
  5. Step 5: Solve for x
    x = 1,360,174,050,225/752,359.13
  6. Step 6: Final answer
    x = 1,807,878.72

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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.