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Finding the Third Proportional to 343,713 and 755,132

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Solution

The third proportional to 343,713 and 755,132 is: 1,659,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,713 : 755,132 = 755,132 : x
  2. Step 2: Convert to fraction form
    343,713/755,132 = 755,132/x
  3. Step 3: Cross multiply
    343,713x = 755,132 × 755,132
  4. Step 4: Simplify right side
    343,713x = 570,224,337,424
  5. Step 5: Solve for x
    x = 570,224,337,424/343,713
  6. Step 6: Final answer
    x = 1,659,013.01

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