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Finding the Third Proportional to 400,117.50 and 944,487

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Solution

The third proportional to 400,117.50 and 944,487 is: 2,229,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,117.50 : 944,487 = 944,487 : x
  2. Step 2: Convert to fraction form
    400,117.50/944,487 = 944,487/x
  3. Step 3: Cross multiply
    400,117.50x = 944,487 × 944,487
  4. Step 4: Simplify right side
    400,117.50x = 892,055,693,169
  5. Step 5: Solve for x
    x = 892,055,693,169/400,117.50
  6. Step 6: Final answer
    x = 2,229,484.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.