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Finding the Third Proportional to 392,049 and 576,587.25

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Solution

The third proportional to 392,049 and 576,587.25 is: 847,988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,049 : 576,587.25 = 576,587.25 : x
  2. Step 2: Convert to fraction form
    392,049/576,587.25 = 576,587.25/x
  3. Step 3: Cross multiply
    392,049x = 576,587.25 × 576,587.25
  4. Step 4: Simplify right side
    392,049x = 332,452,856,862.56
  5. Step 5: Solve for x
    x = 332,452,856,862.56/392,049
  6. Step 6: Final answer
    x = 847,988.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.