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Finding the Third Proportional to 347,132 and 760,846

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Solution

The third proportional to 347,132 and 760,846 is: 1,667,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,132 : 760,846 = 760,846 : x
  2. Step 2: Convert to fraction form
    347,132/760,846 = 760,846/x
  3. Step 3: Cross multiply
    347,132x = 760,846 × 760,846
  4. Step 4: Simplify right side
    347,132x = 578,886,635,716
  5. Step 5: Solve for x
    x = 578,886,635,716/347,132
  6. Step 6: Final answer
    x = 1,667,626.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.