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Finding the Third Proportional to 212,092 and 457,394

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Solution

The third proportional to 212,092 and 457,394 is: 986,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,092 : 457,394 = 457,394 : x
  2. Step 2: Convert to fraction form
    212,092/457,394 = 457,394/x
  3. Step 3: Cross multiply
    212,092x = 457,394 × 457,394
  4. Step 4: Simplify right side
    212,092x = 209,209,271,236
  5. Step 5: Solve for x
    x = 209,209,271,236/212,092
  6. Step 6: Final answer
    x = 986,408.12

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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.