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Finding the Third Proportional to 345,115.29 and 741,462.06

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Solution

The third proportional to 345,115.29 and 741,462.06 is: 1,592,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,115.29 : 741,462.06 = 741,462.06 : x
  2. Step 2: Convert to fraction form
    345,115.29/741,462.06 = 741,462.06/x
  3. Step 3: Cross multiply
    345,115.29x = 741,462.06 × 741,462.06
  4. Step 4: Simplify right side
    345,115.29x = 549,765,979,989.59
  5. Step 5: Solve for x
    x = 549,765,979,989.59/345,115.29
  6. Step 6: Final answer
    x = 1,592,992.23

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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.