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Finding the Third Proportional to 295,882.88 and 647,121.66

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Solution

The third proportional to 295,882.88 and 647,121.66 is: 1,415,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,882.88 : 647,121.66 = 647,121.66 : x
  2. Step 2: Convert to fraction form
    295,882.88/647,121.66 = 647,121.66/x
  3. Step 3: Cross multiply
    295,882.88x = 647,121.66 × 647,121.66
  4. Step 4: Simplify right side
    295,882.88x = 418,766,437,987.74
  5. Step 5: Solve for x
    x = 418,766,437,987.74/295,882.88
  6. Step 6: Final answer
    x = 1,415,311.51

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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.