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Finding the Third Proportional to 425,790 and 592,029

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Solution

The third proportional to 425,790 and 592,029 is: 823,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,790 : 592,029 = 592,029 : x
  2. Step 2: Convert to fraction form
    425,790/592,029 = 592,029/x
  3. Step 3: Cross multiply
    425,790x = 592,029 × 592,029
  4. Step 4: Simplify right side
    425,790x = 350,498,336,841
  5. Step 5: Solve for x
    x = 350,498,336,841/425,790
  6. Step 6: Final answer
    x = 823,171.84

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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.