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Finding the Third Proportional to 542,689.88 and 797,774.06

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Solution

The third proportional to 542,689.88 and 797,774.06 is: 1,172,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,689.88 : 797,774.06 = 797,774.06 : x
  2. Step 2: Convert to fraction form
    542,689.88/797,774.06 = 797,774.06/x
  3. Step 3: Cross multiply
    542,689.88x = 797,774.06 × 797,774.06
  4. Step 4: Simplify right side
    542,689.88x = 636,443,454,797.75
  5. Step 5: Solve for x
    x = 636,443,454,797.75/542,689.88
  6. Step 6: Final answer
    x = 1,172,757.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.