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Finding the Third Proportional to 542,775.38 and 798,375.75

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Solution

The third proportional to 542,775.38 and 798,375.75 is: 1,174,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,775.38 : 798,375.75 = 798,375.75 : x
  2. Step 2: Convert to fraction form
    542,775.38/798,375.75 = 798,375.75/x
  3. Step 3: Cross multiply
    542,775.38x = 798,375.75 × 798,375.75
  4. Step 4: Simplify right side
    542,775.38x = 637,403,838,188.06
  5. Step 5: Solve for x
    x = 637,403,838,188.06/542,775.38
  6. Step 6: Final answer
    x = 1,174,341.85

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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.