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Finding the Third Proportional to 215,288 and 466,864

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Solution

The third proportional to 215,288 and 466,864 is: 1,012,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,288 : 466,864 = 466,864 : x
  2. Step 2: Convert to fraction form
    215,288/466,864 = 466,864/x
  3. Step 3: Cross multiply
    215,288x = 466,864 × 466,864
  4. Step 4: Simplify right side
    215,288x = 217,961,994,496
  5. Step 5: Solve for x
    x = 217,961,994,496/215,288
  6. Step 6: Final answer
    x = 1,012,420.55

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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.