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Finding the Third Proportional to 343,711 and 755,127

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Solution

The third proportional to 343,711 and 755,127 is: 1,659,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,711 : 755,127 = 755,127 : x
  2. Step 2: Convert to fraction form
    343,711/755,127 = 755,127/x
  3. Step 3: Cross multiply
    343,711x = 755,127 × 755,127
  4. Step 4: Simplify right side
    343,711x = 570,216,786,129
  5. Step 5: Solve for x
    x = 570,216,786,129/343,711
  6. Step 6: Final answer
    x = 1,659,000.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.