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Finding the Third Proportional to 341,517 and 513,378

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Solution

The third proportional to 341,517 and 513,378 is: 771,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,517 : 513,378 = 513,378 : x
  2. Step 2: Convert to fraction form
    341,517/513,378 = 513,378/x
  3. Step 3: Cross multiply
    341,517x = 513,378 × 513,378
  4. Step 4: Simplify right side
    341,517x = 263,556,970,884
  5. Step 5: Solve for x
    x = 263,556,970,884/341,517
  6. Step 6: Final answer
    x = 771,724.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.