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Finding the Third Proportional to 542,713.50 and 797,809.50

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Solution

The third proportional to 542,713.50 and 797,809.50 is: 1,172,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,713.50 : 797,809.50 = 797,809.50 : x
  2. Step 2: Convert to fraction form
    542,713.50/797,809.50 = 797,809.50/x
  3. Step 3: Cross multiply
    542,713.50x = 797,809.50 × 797,809.50
  4. Step 4: Simplify right side
    542,713.50x = 636,499,998,290.25
  5. Step 5: Solve for x
    x = 636,499,998,290.25/542,713.50
  6. Step 6: Final answer
    x = 1,172,810.33

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