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Finding the Third Proportional to 542,688 and 797,773.50

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Solution

The third proportional to 542,688 and 797,773.50 is: 1,172,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,688 : 797,773.50 = 797,773.50 : x
  2. Step 2: Convert to fraction form
    542,688/797,773.50 = 797,773.50/x
  3. Step 3: Cross multiply
    542,688x = 797,773.50 × 797,773.50
  4. Step 4: Simplify right side
    542,688x = 636,442,557,302.25
  5. Step 5: Solve for x
    x = 636,442,557,302.25/542,688
  6. Step 6: Final answer
    x = 1,172,759.59

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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.