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Finding the Third Proportional to 224,738 and 481,461

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Solution

The third proportional to 224,738 and 481,461 is: 1,031,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,738 : 481,461 = 481,461 : x
  2. Step 2: Convert to fraction form
    224,738/481,461 = 481,461/x
  3. Step 3: Cross multiply
    224,738x = 481,461 × 481,461
  4. Step 4: Simplify right side
    224,738x = 231,804,694,521
  5. Step 5: Solve for x
    x = 231,804,694,521/224,738
  6. Step 6: Final answer
    x = 1,031,444.15

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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.