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Finding the Third Proportional to 247,250 and 506,248

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Solution

The third proportional to 247,250 and 506,248 is: 1,036,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,250 : 506,248 = 506,248 : x
  2. Step 2: Convert to fraction form
    247,250/506,248 = 506,248/x
  3. Step 3: Cross multiply
    247,250x = 506,248 × 506,248
  4. Step 4: Simplify right side
    247,250x = 256,287,037,504
  5. Step 5: Solve for x
    x = 256,287,037,504/247,250
  6. Step 6: Final answer
    x = 1,036,550.20

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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.