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Finding the Third Proportional to 280,594 and 613,675

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Solution

The third proportional to 280,594 and 613,675 is: 1,342,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,594 : 613,675 = 613,675 : x
  2. Step 2: Convert to fraction form
    280,594/613,675 = 613,675/x
  3. Step 3: Cross multiply
    280,594x = 613,675 × 613,675
  4. Step 4: Simplify right side
    280,594x = 376,597,005,625
  5. Step 5: Solve for x
    x = 376,597,005,625/280,594
  6. Step 6: Final answer
    x = 1,342,142.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.