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Finding the Third Proportional to 534,025.88 and 801,145.13

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Solution

The third proportional to 534,025.88 and 801,145.13 is: 1,201,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,025.88 : 801,145.13 = 801,145.13 : x
  2. Step 2: Convert to fraction form
    534,025.88/801,145.13 = 801,145.13/x
  3. Step 3: Cross multiply
    534,025.88x = 801,145.13 × 801,145.13
  4. Step 4: Simplify right side
    534,025.88x = 641,833,511,311.27
  5. Step 5: Solve for x
    x = 641,833,511,311.27/534,025.88
  6. Step 6: Final answer
    x = 1,201,877.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.