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Finding the Third Proportional to 348,279 and 759,981

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Solution

The third proportional to 348,279 and 759,981 is: 1,658,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,279 : 759,981 = 759,981 : x
  2. Step 2: Convert to fraction form
    348,279/759,981 = 759,981/x
  3. Step 3: Cross multiply
    348,279x = 759,981 × 759,981
  4. Step 4: Simplify right side
    348,279x = 577,571,120,361
  5. Step 5: Solve for x
    x = 577,571,120,361/348,279
  6. Step 6: Final answer
    x = 1,658,357.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.