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Finding the Third Proportional to 234,734 and 506,876

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Solution

The third proportional to 234,734 and 506,876 is: 1,094,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,734 : 506,876 = 506,876 : x
  2. Step 2: Convert to fraction form
    234,734/506,876 = 506,876/x
  3. Step 3: Cross multiply
    234,734x = 506,876 × 506,876
  4. Step 4: Simplify right side
    234,734x = 256,923,279,376
  5. Step 5: Solve for x
    x = 256,923,279,376/234,734
  6. Step 6: Final answer
    x = 1,094,529.46

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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.