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Finding the Third Proportional to 212,084 and 457,371

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Solution

The third proportional to 212,084 and 457,371 is: 986,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,084 : 457,371 = 457,371 : x
  2. Step 2: Convert to fraction form
    212,084/457,371 = 457,371/x
  3. Step 3: Cross multiply
    212,084x = 457,371 × 457,371
  4. Step 4: Simplify right side
    212,084x = 209,188,231,641
  5. Step 5: Solve for x
    x = 209,188,231,641/212,084
  6. Step 6: Final answer
    x = 986,346.13

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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.