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Finding the Third Proportional to 341,601 and 510,517

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Solution

The third proportional to 341,601 and 510,517 is: 762,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,601 : 510,517 = 510,517 : x
  2. Step 2: Convert to fraction form
    341,601/510,517 = 510,517/x
  3. Step 3: Cross multiply
    341,601x = 510,517 × 510,517
  4. Step 4: Simplify right side
    341,601x = 260,627,607,289
  5. Step 5: Solve for x
    x = 260,627,607,289/341,601
  6. Step 6: Final answer
    x = 762,959.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.