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Finding the Third Proportional to 244,380 and 538,464

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Solution

The third proportional to 244,380 and 538,464 is: 1,186,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,380 : 538,464 = 538,464 : x
  2. Step 2: Convert to fraction form
    244,380/538,464 = 538,464/x
  3. Step 3: Cross multiply
    244,380x = 538,464 × 538,464
  4. Step 4: Simplify right side
    244,380x = 289,943,479,296
  5. Step 5: Solve for x
    x = 289,943,479,296/244,380
  6. Step 6: Final answer
    x = 1,186,445.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.