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Finding the Third Proportional to 283,704 and 580,368

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Solution

The third proportional to 283,704 and 580,368 is: 1,187,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,704 : 580,368 = 580,368 : x
  2. Step 2: Convert to fraction form
    283,704/580,368 = 580,368/x
  3. Step 3: Cross multiply
    283,704x = 580,368 × 580,368
  4. Step 4: Simplify right side
    283,704x = 336,827,015,424
  5. Step 5: Solve for x
    x = 336,827,015,424/283,704
  6. Step 6: Final answer
    x = 1,187,248.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.