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Finding the Third Proportional to 215,750 and 472,972

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Solution

The third proportional to 215,750 and 472,972 is: 1,036,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,750 : 472,972 = 472,972 : x
  2. Step 2: Convert to fraction form
    215,750/472,972 = 472,972/x
  3. Step 3: Cross multiply
    215,750x = 472,972 × 472,972
  4. Step 4: Simplify right side
    215,750x = 223,702,512,784
  5. Step 5: Solve for x
    x = 223,702,512,784/215,750
  6. Step 6: Final answer
    x = 1,036,859.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.