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Finding the Third Proportional to 253,494 and 546,718

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Solution

The third proportional to 253,494 and 546,718 is: 1,179,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,494 : 546,718 = 546,718 : x
  2. Step 2: Convert to fraction form
    253,494/546,718 = 546,718/x
  3. Step 3: Cross multiply
    253,494x = 546,718 × 546,718
  4. Step 4: Simplify right side
    253,494x = 298,900,571,524
  5. Step 5: Solve for x
    x = 298,900,571,524/253,494
  6. Step 6: Final answer
    x = 1,179,122.86

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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.