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Finding the Third Proportional to 341,420 and 527,529

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Solution

The third proportional to 341,420 and 527,529 is: 815,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,420 : 527,529 = 527,529 : x
  2. Step 2: Convert to fraction form
    341,420/527,529 = 527,529/x
  3. Step 3: Cross multiply
    341,420x = 527,529 × 527,529
  4. Step 4: Simplify right side
    341,420x = 278,286,845,841
  5. Step 5: Solve for x
    x = 278,286,845,841/341,420
  6. Step 6: Final answer
    x = 815,086.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.