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Finding the Third Proportional to 401,662 and 580,380

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Solution

The third proportional to 401,662 and 580,380 is: 838,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,662 : 580,380 = 580,380 : x
  2. Step 2: Convert to fraction form
    401,662/580,380 = 580,380/x
  3. Step 3: Cross multiply
    401,662x = 580,380 × 580,380
  4. Step 4: Simplify right side
    401,662x = 336,840,944,400
  5. Step 5: Solve for x
    x = 336,840,944,400/401,662
  6. Step 6: Final answer
    x = 838,617.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.