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Finding the Third Proportional to 341,982 and 526,419

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Solution

The third proportional to 341,982 and 526,419 is: 810,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,982 : 526,419 = 526,419 : x
  2. Step 2: Convert to fraction form
    341,982/526,419 = 526,419/x
  3. Step 3: Cross multiply
    341,982x = 526,419 × 526,419
  4. Step 4: Simplify right side
    341,982x = 277,116,963,561
  5. Step 5: Solve for x
    x = 277,116,963,561/341,982
  6. Step 6: Final answer
    x = 810,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.