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Finding the Third Proportional to 347,731.10 and 741,391.10

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Solution

The third proportional to 347,731.10 and 741,391.10 is: 1,580,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,731.10 : 741,391.10 = 741,391.10 : x
  2. Step 2: Convert to fraction form
    347,731.10/741,391.10 = 741,391.10/x
  3. Step 3: Cross multiply
    347,731.10x = 741,391.10 × 741,391.10
  4. Step 4: Simplify right side
    347,731.10x = 549,660,765,476.06
  5. Step 5: Solve for x
    x = 549,660,765,476.06/347,731.10
  6. Step 6: Final answer
    x = 1,580,706.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.