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Finding the Third Proportional to 244,387 and 512,147

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Solution

The third proportional to 244,387 and 512,147 is: 1,073,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,387 : 512,147 = 512,147 : x
  2. Step 2: Convert to fraction form
    244,387/512,147 = 512,147/x
  3. Step 3: Cross multiply
    244,387x = 512,147 × 512,147
  4. Step 4: Simplify right side
    244,387x = 262,294,549,609
  5. Step 5: Solve for x
    x = 262,294,549,609/244,387
  6. Step 6: Final answer
    x = 1,073,275.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.