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Finding the Third Proportional to 527,080.25 and 1,155,734.50

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Solution

The third proportional to 527,080.25 and 1,155,734.50 is: 2,534,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,080.25 : 1,155,734.50 = 1,155,734.50 : x
  2. Step 2: Convert to fraction form
    527,080.25/1,155,734.50 = 1,155,734.50/x
  3. Step 3: Cross multiply
    527,080.25x = 1,155,734.50 × 1,155,734.50
  4. Step 4: Simplify right side
    527,080.25x = 1,335,722,234,490.25
  5. Step 5: Solve for x
    x = 1,335,722,234,490.25/527,080.25
  6. Step 6: Final answer
    x = 2,534,191.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.