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Finding the Third Proportional to 201,046 and 418,624

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Solution

The third proportional to 201,046 and 418,624 is: 871,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,046 : 418,624 = 418,624 : x
  2. Step 2: Convert to fraction form
    201,046/418,624 = 418,624/x
  3. Step 3: Cross multiply
    201,046x = 418,624 × 418,624
  4. Step 4: Simplify right side
    201,046x = 175,246,053,376
  5. Step 5: Solve for x
    x = 175,246,053,376/201,046
  6. Step 6: Final answer
    x = 871,671.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.