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Finding the Third Proportional to 219,936 and 474,624

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Solution

The third proportional to 219,936 and 474,624 is: 1,024,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,936 : 474,624 = 474,624 : x
  2. Step 2: Convert to fraction form
    219,936/474,624 = 474,624/x
  3. Step 3: Cross multiply
    219,936x = 474,624 × 474,624
  4. Step 4: Simplify right side
    219,936x = 225,267,941,376
  5. Step 5: Solve for x
    x = 225,267,941,376/219,936
  6. Step 6: Final answer
    x = 1,024,243.15

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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.