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Finding the Third Proportional to 343,277 and 747,580

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Solution

The third proportional to 343,277 and 747,580 is: 1,628,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,277 : 747,580 = 747,580 : x
  2. Step 2: Convert to fraction form
    343,277/747,580 = 747,580/x
  3. Step 3: Cross multiply
    343,277x = 747,580 × 747,580
  4. Step 4: Simplify right side
    343,277x = 558,875,856,400
  5. Step 5: Solve for x
    x = 558,875,856,400/343,277
  6. Step 6: Final answer
    x = 1,628,060.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.