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Finding the Third Proportional to 546,107.50 and 854,801.25

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Solution

The third proportional to 546,107.50 and 854,801.25 is: 1,337,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,107.50 : 854,801.25 = 854,801.25 : x
  2. Step 2: Convert to fraction form
    546,107.50/854,801.25 = 854,801.25/x
  3. Step 3: Cross multiply
    546,107.50x = 854,801.25 × 854,801.25
  4. Step 4: Simplify right side
    546,107.50x = 730,685,177,001.56
  5. Step 5: Solve for x
    x = 730,685,177,001.56/546,107.50
  6. Step 6: Final answer
    x = 1,337,987.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.