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Finding the Third Proportional to 542,694 and 797,784

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Solution

The third proportional to 542,694 and 797,784 is: 1,172,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,694 : 797,784 = 797,784 : x
  2. Step 2: Convert to fraction form
    542,694/797,784 = 797,784/x
  3. Step 3: Cross multiply
    542,694x = 797,784 × 797,784
  4. Step 4: Simplify right side
    542,694x = 636,459,310,656
  5. Step 5: Solve for x
    x = 636,459,310,656/542,694
  6. Step 6: Final answer
    x = 1,172,777.50

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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.