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Finding the Third Proportional to 417,696 and 636,352

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Solution

The third proportional to 417,696 and 636,352 is: 969,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,696 : 636,352 = 636,352 : x
  2. Step 2: Convert to fraction form
    417,696/636,352 = 636,352/x
  3. Step 3: Cross multiply
    417,696x = 636,352 × 636,352
  4. Step 4: Simplify right side
    417,696x = 404,943,867,904
  5. Step 5: Solve for x
    x = 404,943,867,904/417,696
  6. Step 6: Final answer
    x = 969,470.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.