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Finding the Third Proportional to 425,808 and 592,048

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Solution

The third proportional to 425,808 and 592,048 is: 823,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,808 : 592,048 = 592,048 : x
  2. Step 2: Convert to fraction form
    425,808/592,048 = 592,048/x
  3. Step 3: Cross multiply
    425,808x = 592,048 × 592,048
  4. Step 4: Simplify right side
    425,808x = 350,520,834,304
  5. Step 5: Solve for x
    x = 350,520,834,304/425,808
  6. Step 6: Final answer
    x = 823,189.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.