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Finding the Third Proportional to 244,555 and 576,380

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Solution

The third proportional to 244,555 and 576,380 is: 1,358,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,555 : 576,380 = 576,380 : x
  2. Step 2: Convert to fraction form
    244,555/576,380 = 576,380/x
  3. Step 3: Cross multiply
    244,555x = 576,380 × 576,380
  4. Step 4: Simplify right side
    244,555x = 332,213,904,400
  5. Step 5: Solve for x
    x = 332,213,904,400/244,555
  6. Step 6: Final answer
    x = 1,358,442.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.