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Finding the Third Proportional to 253,512 and 547,216

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Solution

The third proportional to 253,512 and 547,216 is: 1,181,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,512 : 547,216 = 547,216 : x
  2. Step 2: Convert to fraction form
    253,512/547,216 = 547,216/x
  3. Step 3: Cross multiply
    253,512x = 547,216 × 547,216
  4. Step 4: Simplify right side
    253,512x = 299,445,350,656
  5. Step 5: Solve for x
    x = 299,445,350,656/253,512
  6. Step 6: Final answer
    x = 1,181,188.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.