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Finding the Third Proportional to 400,065 and 944,385

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Solution

The third proportional to 400,065 and 944,385 is: 2,229,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,065 : 944,385 = 944,385 : x
  2. Step 2: Convert to fraction form
    400,065/944,385 = 944,385/x
  3. Step 3: Cross multiply
    400,065x = 944,385 × 944,385
  4. Step 4: Simplify right side
    400,065x = 891,863,028,225
  5. Step 5: Solve for x
    x = 891,863,028,225/400,065
  6. Step 6: Final answer
    x = 2,229,295.31

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Why These Related Problems?

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