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Finding the Third Proportional to 283,338 and 616,521

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Solution

The third proportional to 283,338 and 616,521 is: 1,341,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,338 : 616,521 = 616,521 : x
  2. Step 2: Convert to fraction form
    283,338/616,521 = 616,521/x
  3. Step 3: Cross multiply
    283,338x = 616,521 × 616,521
  4. Step 4: Simplify right side
    283,338x = 380,098,143,441
  5. Step 5: Solve for x
    x = 380,098,143,441/283,338
  6. Step 6: Final answer
    x = 1,341,500.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.