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Finding the Third Proportional to 212,082 and 457,374

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Solution

The third proportional to 212,082 and 457,374 is: 986,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,082 : 457,374 = 457,374 : x
  2. Step 2: Convert to fraction form
    212,082/457,374 = 457,374/x
  3. Step 3: Cross multiply
    212,082x = 457,374 × 457,374
  4. Step 4: Simplify right side
    212,082x = 209,190,975,876
  5. Step 5: Solve for x
    x = 209,190,975,876/212,082
  6. Step 6: Final answer
    x = 986,368.37

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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.