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Finding the Third Proportional to 215,280 and 466,848

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Solution

The third proportional to 215,280 and 466,848 is: 1,012,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,280 : 466,848 = 466,848 : x
  2. Step 2: Convert to fraction form
    215,280/466,848 = 466,848/x
  3. Step 3: Cross multiply
    215,280x = 466,848 × 466,848
  4. Step 4: Simplify right side
    215,280x = 217,947,055,104
  5. Step 5: Solve for x
    x = 217,947,055,104/215,280
  6. Step 6: Final answer
    x = 1,012,388.77

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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.