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Finding the Third Proportional to 425,810 and 592,051

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Solution

The third proportional to 425,810 and 592,051 is: 823,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,810 : 592,051 = 592,051 : x
  2. Step 2: Convert to fraction form
    425,810/592,051 = 592,051/x
  3. Step 3: Cross multiply
    425,810x = 592,051 × 592,051
  4. Step 4: Simplify right side
    425,810x = 350,524,386,601
  5. Step 5: Solve for x
    x = 350,524,386,601/425,810
  6. Step 6: Final answer
    x = 823,194.35

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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.