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Finding the Third Proportional to 218,432 and 476,392

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Solution

The third proportional to 218,432 and 476,392 is: 1,038,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,432 : 476,392 = 476,392 : x
  2. Step 2: Convert to fraction form
    218,432/476,392 = 476,392/x
  3. Step 3: Cross multiply
    218,432x = 476,392 × 476,392
  4. Step 4: Simplify right side
    218,432x = 226,949,337,664
  5. Step 5: Solve for x
    x = 226,949,337,664/218,432
  6. Step 6: Final answer
    x = 1,038,993.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.