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Finding the Third Proportional to 212,106 and 457,422

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Solution

The third proportional to 212,106 and 457,422 is: 986,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,106 : 457,422 = 457,422 : x
  2. Step 2: Convert to fraction form
    212,106/457,422 = 457,422/x
  3. Step 3: Cross multiply
    212,106x = 457,422 × 457,422
  4. Step 4: Simplify right side
    212,106x = 209,234,886,084
  5. Step 5: Solve for x
    x = 209,234,886,084/212,106
  6. Step 6: Final answer
    x = 986,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.