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Finding the Third Proportional to 404,713.97 and 584,695.97

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Solution

The third proportional to 404,713.97 and 584,695.97 is: 844,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,713.97 : 584,695.97 = 584,695.97 : x
  2. Step 2: Convert to fraction form
    404,713.97/584,695.97 = 584,695.97/x
  3. Step 3: Cross multiply
    404,713.97x = 584,695.97 × 584,695.97
  4. Step 4: Simplify right side
    404,713.97x = 341,869,375,872.50
  5. Step 5: Solve for x
    x = 341,869,375,872.50/404,713.97
  6. Step 6: Final answer
    x = 844,718.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.