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Finding the Third Proportional to 542,700 and 797,793

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Solution

The third proportional to 542,700 and 797,793 is: 1,172,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,700 : 797,793 = 797,793 : x
  2. Step 2: Convert to fraction form
    542,700/797,793 = 797,793/x
  3. Step 3: Cross multiply
    542,700x = 797,793 × 797,793
  4. Step 4: Simplify right side
    542,700x = 636,473,670,849
  5. Step 5: Solve for x
    x = 636,473,670,849/542,700
  6. Step 6: Final answer
    x = 1,172,790.99

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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.