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Finding the Third Proportional to 234,380 and 485,368

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Solution

The third proportional to 234,380 and 485,368 is: 1,005,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,380 : 485,368 = 485,368 : x
  2. Step 2: Convert to fraction form
    234,380/485,368 = 485,368/x
  3. Step 3: Cross multiply
    234,380x = 485,368 × 485,368
  4. Step 4: Simplify right side
    234,380x = 235,582,095,424
  5. Step 5: Solve for x
    x = 235,582,095,424/234,380
  6. Step 6: Final answer
    x = 1,005,128.83

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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.