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Finding the Third Proportional to 403,585.31 and 885,889.13

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Solution

The third proportional to 403,585.31 and 885,889.13 is: 1,944,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,585.31 : 885,889.13 = 885,889.13 : x
  2. Step 2: Convert to fraction form
    403,585.31/885,889.13 = 885,889.13/x
  3. Step 3: Cross multiply
    403,585.31x = 885,889.13 × 885,889.13
  4. Step 4: Simplify right side
    403,585.31x = 784,799,541,793.27
  5. Step 5: Solve for x
    x = 784,799,541,793.27/403,585.31
  6. Step 6: Final answer
    x = 1,944,569.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.