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Finding the Third Proportional to 260,665.88 and 571,153.50

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Solution

The third proportional to 260,665.88 and 571,153.50 is: 1,251,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,665.88 : 571,153.50 = 571,153.50 : x
  2. Step 2: Convert to fraction form
    260,665.88/571,153.50 = 571,153.50/x
  3. Step 3: Cross multiply
    260,665.88x = 571,153.50 × 571,153.50
  4. Step 4: Simplify right side
    260,665.88x = 326,216,320,562.25
  5. Step 5: Solve for x
    x = 326,216,320,562.25/260,665.88
  6. Step 6: Final answer
    x = 1,251,473.06

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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.