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Finding the Third Proportional to 417,657 and 636,277

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Solution

The third proportional to 417,657 and 636,277 is: 969,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,657 : 636,277 = 636,277 : x
  2. Step 2: Convert to fraction form
    417,657/636,277 = 636,277/x
  3. Step 3: Cross multiply
    417,657x = 636,277 × 636,277
  4. Step 4: Simplify right side
    417,657x = 404,848,420,729
  5. Step 5: Solve for x
    x = 404,848,420,729/417,657
  6. Step 6: Final answer
    x = 969,332.30

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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.