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Finding the Third Proportional to 729,273.38 and 1,153,845

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Solution

The third proportional to 729,273.38 and 1,153,845 is: 1,825,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,273.38 : 1,153,845 = 1,153,845 : x
  2. Step 2: Convert to fraction form
    729,273.38/1,153,845 = 1,153,845/x
  3. Step 3: Cross multiply
    729,273.38x = 1,153,845 × 1,153,845
  4. Step 4: Simplify right side
    729,273.38x = 1,331,358,284,025
  5. Step 5: Solve for x
    x = 1,331,358,284,025/729,273.38
  6. Step 6: Final answer
    x = 1,825,595.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.