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Finding the Third Proportional to 234,376 and 485,366

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Solution

The third proportional to 234,376 and 485,366 is: 1,005,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,376 : 485,366 = 485,366 : x
  2. Step 2: Convert to fraction form
    234,376/485,366 = 485,366/x
  3. Step 3: Cross multiply
    234,376x = 485,366 × 485,366
  4. Step 4: Simplify right side
    234,376x = 235,580,153,956
  5. Step 5: Solve for x
    x = 235,580,153,956/234,376
  6. Step 6: Final answer
    x = 1,005,137.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.