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Finding the Third Proportional to 212,104 and 457,418

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Solution

The third proportional to 212,104 and 457,418 is: 986,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,104 : 457,418 = 457,418 : x
  2. Step 2: Convert to fraction form
    212,104/457,418 = 457,418/x
  3. Step 3: Cross multiply
    212,104x = 457,418 × 457,418
  4. Step 4: Simplify right side
    212,104x = 209,231,226,724
  5. Step 5: Solve for x
    x = 209,231,226,724/212,104
  6. Step 6: Final answer
    x = 986,455.83

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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.