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Finding the Third Proportional to 541,820.50 and 797,018.75

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Solution

The third proportional to 541,820.50 and 797,018.75 is: 1,172,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,820.50 : 797,018.75 = 797,018.75 : x
  2. Step 2: Convert to fraction form
    541,820.50/797,018.75 = 797,018.75/x
  3. Step 3: Cross multiply
    541,820.50x = 797,018.75 × 797,018.75
  4. Step 4: Simplify right side
    541,820.50x = 635,238,887,851.56
  5. Step 5: Solve for x
    x = 635,238,887,851.56/541,820.50
  6. Step 6: Final answer
    x = 1,172,415.75

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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.