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Finding the Third Proportional to 224,738 and 491,455

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Solution

The third proportional to 224,738 and 491,455 is: 1,074,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,738 : 491,455 = 491,455 : x
  2. Step 2: Convert to fraction form
    224,738/491,455 = 491,455/x
  3. Step 3: Cross multiply
    224,738x = 491,455 × 491,455
  4. Step 4: Simplify right side
    224,738x = 241,528,017,025
  5. Step 5: Solve for x
    x = 241,528,017,025/224,738
  6. Step 6: Final answer
    x = 1,074,709.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.