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Finding the Third Proportional to 216,874.97 and 469,949.34

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Solution

The third proportional to 216,874.97 and 469,949.34 is: 1,018,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,874.97 : 469,949.34 = 469,949.34 : x
  2. Step 2: Convert to fraction form
    216,874.97/469,949.34 = 469,949.34/x
  3. Step 3: Cross multiply
    216,874.97x = 469,949.34 × 469,949.34
  4. Step 4: Simplify right side
    216,874.97x = 220,852,385,691.06
  5. Step 5: Solve for x
    x = 220,852,385,691.06/216,874.97
  6. Step 6: Final answer
    x = 1,018,339.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.