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Finding the Third Proportional to 425,786 and 592,023

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Solution

The third proportional to 425,786 and 592,023 is: 823,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,786 : 592,023 = 592,023 : x
  2. Step 2: Convert to fraction form
    425,786/592,023 = 592,023/x
  3. Step 3: Cross multiply
    425,786x = 592,023 × 592,023
  4. Step 4: Simplify right side
    425,786x = 350,491,232,529
  5. Step 5: Solve for x
    x = 350,491,232,529/425,786
  6. Step 6: Final answer
    x = 823,162.89

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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.