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Finding the Third Proportional to 224,820 and 481,614

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Solution

The third proportional to 224,820 and 481,614 is: 1,031,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,820 : 481,614 = 481,614 : x
  2. Step 2: Convert to fraction form
    224,820/481,614 = 481,614/x
  3. Step 3: Cross multiply
    224,820x = 481,614 × 481,614
  4. Step 4: Simplify right side
    224,820x = 231,952,044,996
  5. Step 5: Solve for x
    x = 231,952,044,996/224,820
  6. Step 6: Final answer
    x = 1,031,723.36

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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.