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Finding the Third Proportional to 265,343.75 and 582,814

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Solution

The third proportional to 265,343.75 and 582,814 is: 1,280,121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,343.75 : 582,814 = 582,814 : x
  2. Step 2: Convert to fraction form
    265,343.75/582,814 = 582,814/x
  3. Step 3: Cross multiply
    265,343.75x = 582,814 × 582,814
  4. Step 4: Simplify right side
    265,343.75x = 339,672,158,596
  5. Step 5: Solve for x
    x = 339,672,158,596/265,343.75
  6. Step 6: Final answer
    x = 1,280,121.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.