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Finding the Third Proportional to 283,592 and 425,388

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Solution

The third proportional to 283,592 and 425,388 is: 638,082

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,592 : 425,388 = 425,388 : x
  2. Step 2: Convert to fraction form
    283,592/425,388 = 425,388/x
  3. Step 3: Cross multiply
    283,592x = 425,388 × 425,388
  4. Step 4: Simplify right side
    283,592x = 180,954,950,544
  5. Step 5: Solve for x
    x = 180,954,950,544/283,592
  6. Step 6: Final answer
    x = 638,082

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.