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Finding the Third Proportional to 348,086 and 760,084

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Solution

The third proportional to 348,086 and 760,084 is: 1,659,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,086 : 760,084 = 760,084 : x
  2. Step 2: Convert to fraction form
    348,086/760,084 = 760,084/x
  3. Step 3: Cross multiply
    348,086x = 760,084 × 760,084
  4. Step 4: Simplify right side
    348,086x = 577,727,687,056
  5. Step 5: Solve for x
    x = 577,727,687,056/348,086
  6. Step 6: Final answer
    x = 1,659,726.87

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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.