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Finding the Third Proportional to 392,053 and 576,593

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Solution

The third proportional to 392,053 and 576,593 is: 847,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,053 : 576,593 = 576,593 : x
  2. Step 2: Convert to fraction form
    392,053/576,593 = 576,593/x
  3. Step 3: Cross multiply
    392,053x = 576,593 × 576,593
  4. Step 4: Simplify right side
    392,053x = 332,459,487,649
  5. Step 5: Solve for x
    x = 332,459,487,649/392,053
  6. Step 6: Final answer
    x = 847,996.29

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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.