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Finding the Third Proportional to 392,051 and 576,590

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Solution

The third proportional to 392,051 and 576,590 is: 847,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,051 : 576,590 = 576,590 : x
  2. Step 2: Convert to fraction form
    392,051/576,590 = 576,590/x
  3. Step 3: Cross multiply
    392,051x = 576,590 × 576,590
  4. Step 4: Simplify right side
    392,051x = 332,456,028,100
  5. Step 5: Solve for x
    x = 332,456,028,100/392,051
  6. Step 6: Final answer
    x = 847,991.79

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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.