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Finding the Third Proportional to 283,599 and 425,397

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Solution

The third proportional to 283,599 and 425,397 is: 638,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,599 : 425,397 = 425,397 : x
  2. Step 2: Convert to fraction form
    283,599/425,397 = 425,397/x
  3. Step 3: Cross multiply
    283,599x = 425,397 × 425,397
  4. Step 4: Simplify right side
    283,599x = 180,962,607,609
  5. Step 5: Solve for x
    x = 180,962,607,609/283,599
  6. Step 6: Final answer
    x = 638,093.25

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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.