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Finding the Third Proportional to 250,697 and 547,124

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Solution

The third proportional to 250,697 and 547,124 is: 1,194,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,697 : 547,124 = 547,124 : x
  2. Step 2: Convert to fraction form
    250,697/547,124 = 547,124/x
  3. Step 3: Cross multiply
    250,697x = 547,124 × 547,124
  4. Step 4: Simplify right side
    250,697x = 299,344,671,376
  5. Step 5: Solve for x
    x = 299,344,671,376/250,697
  6. Step 6: Final answer
    x = 1,194,049.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.