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Finding the Third Proportional to 542,826.56 and 798,442.31

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Solution

The third proportional to 542,826.56 and 798,442.31 is: 1,174,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,826.56 : 798,442.31 = 798,442.31 : x
  2. Step 2: Convert to fraction form
    542,826.56/798,442.31 = 798,442.31/x
  3. Step 3: Cross multiply
    542,826.56x = 798,442.31 × 798,442.31
  4. Step 4: Simplify right side
    542,826.56x = 637,510,126,390.35
  5. Step 5: Solve for x
    x = 637,510,126,390.35/542,826.56
  6. Step 6: Final answer
    x = 1,174,426.92

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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.