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Finding the Third Proportional to 280,734 and 613,950

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Solution

The third proportional to 280,734 and 613,950 is: 1,342,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,734 : 613,950 = 613,950 : x
  2. Step 2: Convert to fraction form
    280,734/613,950 = 613,950/x
  3. Step 3: Cross multiply
    280,734x = 613,950 × 613,950
  4. Step 4: Simplify right side
    280,734x = 376,934,602,500
  5. Step 5: Solve for x
    x = 376,934,602,500/280,734
  6. Step 6: Final answer
    x = 1,342,675.28

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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.