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Finding the Third Proportional to 461,331 and 998,477.25

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Solution

The third proportional to 461,331 and 998,477.25 is: 2,161,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,331 : 998,477.25 = 998,477.25 : x
  2. Step 2: Convert to fraction form
    461,331/998,477.25 = 998,477.25/x
  3. Step 3: Cross multiply
    461,331x = 998,477.25 × 998,477.25
  4. Step 4: Simplify right side
    461,331x = 996,956,818,767.56
  5. Step 5: Solve for x
    x = 996,956,818,767.56/461,331
  6. Step 6: Final answer
    x = 2,161,044.50

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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.