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Finding the Third Proportional to 280,594 and 613,676

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Solution

The third proportional to 280,594 and 613,676 is: 1,342,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,594 : 613,676 = 613,676 : x
  2. Step 2: Convert to fraction form
    280,594/613,676 = 613,676/x
  3. Step 3: Cross multiply
    280,594x = 613,676 × 613,676
  4. Step 4: Simplify right side
    280,594x = 376,598,232,976
  5. Step 5: Solve for x
    x = 376,598,232,976/280,594
  6. Step 6: Final answer
    x = 1,342,146.42

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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.