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Finding the Third Proportional to 224,802 and 481,491

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Solution

The third proportional to 224,802 and 481,491 is: 1,031,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,802 : 481,491 = 481,491 : x
  2. Step 2: Convert to fraction form
    224,802/481,491 = 481,491/x
  3. Step 3: Cross multiply
    224,802x = 481,491 × 481,491
  4. Step 4: Simplify right side
    224,802x = 231,833,583,081
  5. Step 5: Solve for x
    x = 231,833,583,081/224,802
  6. Step 6: Final answer
    x = 1,031,279.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.