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Finding the Third Proportional to 212,094 and 457,398

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Solution

The third proportional to 212,094 and 457,398 is: 986,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,094 : 457,398 = 457,398 : x
  2. Step 2: Convert to fraction form
    212,094/457,398 = 457,398/x
  3. Step 3: Cross multiply
    212,094x = 457,398 × 457,398
  4. Step 4: Simplify right side
    212,094x = 209,212,930,404
  5. Step 5: Solve for x
    x = 209,212,930,404/212,094
  6. Step 6: Final answer
    x = 986,416.07

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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.