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Finding the Third Proportional to 312,670 and 636,382

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Solution

The third proportional to 312,670 and 636,382 is: 1,295,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,670 : 636,382 = 636,382 : x
  2. Step 2: Convert to fraction form
    312,670/636,382 = 636,382/x
  3. Step 3: Cross multiply
    312,670x = 636,382 × 636,382
  4. Step 4: Simplify right side
    312,670x = 404,982,049,924
  5. Step 5: Solve for x
    x = 404,982,049,924/312,670
  6. Step 6: Final answer
    x = 1,295,237.95

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.