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Finding the Third Proportional to 416,826 and 645,832

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Solution

The third proportional to 416,826 and 645,832 is: 1,000,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,826 : 645,832 = 645,832 : x
  2. Step 2: Convert to fraction form
    416,826/645,832 = 645,832/x
  3. Step 3: Cross multiply
    416,826x = 645,832 × 645,832
  4. Step 4: Simplify right side
    416,826x = 417,098,972,224
  5. Step 5: Solve for x
    x = 417,098,972,224/416,826
  6. Step 6: Final answer
    x = 1,000,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.