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Finding the Third Proportional to 416,252 and 914,332

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Solution

The third proportional to 416,252 and 914,332 is: 2,008,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,252 : 914,332 = 914,332 : x
  2. Step 2: Convert to fraction form
    416,252/914,332 = 914,332/x
  3. Step 3: Cross multiply
    416,252x = 914,332 × 914,332
  4. Step 4: Simplify right side
    416,252x = 836,003,006,224
  5. Step 5: Solve for x
    x = 836,003,006,224/416,252
  6. Step 6: Final answer
    x = 2,008,405.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.