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Finding the Third Proportional to 399,109.50 and 857,265.75

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Solution

The third proportional to 399,109.50 and 857,265.75 is: 1,841,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,109.50 : 857,265.75 = 857,265.75 : x
  2. Step 2: Convert to fraction form
    399,109.50/857,265.75 = 857,265.75/x
  3. Step 3: Cross multiply
    399,109.50x = 857,265.75 × 857,265.75
  4. Step 4: Simplify right side
    399,109.50x = 734,904,566,123.06
  5. Step 5: Solve for x
    x = 734,904,566,123.06/399,109.50
  6. Step 6: Final answer
    x = 1,841,360.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.