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Finding the Third Proportional to 392,995 and 593,228

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Solution

The third proportional to 392,995 and 593,228 is: 895,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,995 : 593,228 = 593,228 : x
  2. Step 2: Convert to fraction form
    392,995/593,228 = 593,228/x
  3. Step 3: Cross multiply
    392,995x = 593,228 × 593,228
  4. Step 4: Simplify right side
    392,995x = 351,919,459,984
  5. Step 5: Solve for x
    x = 351,919,459,984/392,995
  6. Step 6: Final answer
    x = 895,480.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.