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Finding the Third Proportional to 343,756 and 740,171

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Solution

The third proportional to 343,756 and 740,171 is: 1,593,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,756 : 740,171 = 740,171 : x
  2. Step 2: Convert to fraction form
    343,756/740,171 = 740,171/x
  3. Step 3: Cross multiply
    343,756x = 740,171 × 740,171
  4. Step 4: Simplify right side
    343,756x = 547,853,109,241
  5. Step 5: Solve for x
    x = 547,853,109,241/343,756
  6. Step 6: Final answer
    x = 1,593,726.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.