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Finding the Third Proportional to 244,414 and 369,080

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Solution

The third proportional to 244,414 and 369,080 is: 557,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,414 : 369,080 = 369,080 : x
  2. Step 2: Convert to fraction form
    244,414/369,080 = 369,080/x
  3. Step 3: Cross multiply
    244,414x = 369,080 × 369,080
  4. Step 4: Simplify right side
    244,414x = 136,220,046,400
  5. Step 5: Solve for x
    x = 136,220,046,400/244,414
  6. Step 6: Final answer
    x = 557,333.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.