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Finding the Third Proportional to 247,248 and 506,244

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Solution

The third proportional to 247,248 and 506,244 is: 1,036,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,248 : 506,244 = 506,244 : x
  2. Step 2: Convert to fraction form
    247,248/506,244 = 506,244/x
  3. Step 3: Cross multiply
    247,248x = 506,244 × 506,244
  4. Step 4: Simplify right side
    247,248x = 256,282,987,536
  5. Step 5: Solve for x
    x = 256,282,987,536/247,248
  6. Step 6: Final answer
    x = 1,036,542.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.