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Finding the Third Proportional to 219,898 and 479,292

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Solution

The third proportional to 219,898 and 479,292 is: 1,044,669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,898 : 479,292 = 479,292 : x
  2. Step 2: Convert to fraction form
    219,898/479,292 = 479,292/x
  3. Step 3: Cross multiply
    219,898x = 479,292 × 479,292
  4. Step 4: Simplify right side
    219,898x = 229,720,821,264
  5. Step 5: Solve for x
    x = 229,720,821,264/219,898
  6. Step 6: Final answer
    x = 1,044,669.90

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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.