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Finding the Third Proportional to 341,606 and 545,721

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Solution

The third proportional to 341,606 and 545,721 is: 871,797.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,606 : 545,721 = 545,721 : x
  2. Step 2: Convert to fraction form
    341,606/545,721 = 545,721/x
  3. Step 3: Cross multiply
    341,606x = 545,721 × 545,721
  4. Step 4: Simplify right side
    341,606x = 297,811,409,841
  5. Step 5: Solve for x
    x = 297,811,409,841/341,606
  6. Step 6: Final answer
    x = 871,797.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.