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Finding the Third Proportional to 215,533 and 468,373

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Solution

The third proportional to 215,533 and 468,373 is: 1,017,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,533 : 468,373 = 468,373 : x
  2. Step 2: Convert to fraction form
    215,533/468,373 = 468,373/x
  3. Step 3: Cross multiply
    215,533x = 468,373 × 468,373
  4. Step 4: Simplify right side
    215,533x = 219,373,267,129
  5. Step 5: Solve for x
    x = 219,373,267,129/215,533
  6. Step 6: Final answer
    x = 1,017,817.54

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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.