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Finding the Third Proportional to 418,891.50 and 647,291.25

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Solution

The third proportional to 418,891.50 and 647,291.25 is: 1,000,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891.50 : 647,291.25 = 647,291.25 : x
  2. Step 2: Convert to fraction form
    418,891.50/647,291.25 = 647,291.25/x
  3. Step 3: Cross multiply
    418,891.50x = 647,291.25 × 647,291.25
  4. Step 4: Simplify right side
    418,891.50x = 418,985,962,326.56
  5. Step 5: Solve for x
    x = 418,985,962,326.56/418,891.50
  6. Step 6: Final answer
    x = 1,000,225.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.