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Finding the Third Proportional to 461,317.50 and 998,451

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Solution

The third proportional to 461,317.50 and 998,451 is: 2,160,994.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,317.50 : 998,451 = 998,451 : x
  2. Step 2: Convert to fraction form
    461,317.50/998,451 = 998,451/x
  3. Step 3: Cross multiply
    461,317.50x = 998,451 × 998,451
  4. Step 4: Simplify right side
    461,317.50x = 996,904,399,401
  5. Step 5: Solve for x
    x = 996,904,399,401/461,317.50
  6. Step 6: Final answer
    x = 2,160,994.11

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.