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Finding the Third Proportional to 347,737.22 and 741,403.69

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Solution

The third proportional to 347,737.22 and 741,403.69 is: 1,580,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,737.22 : 741,403.69 = 741,403.69 : x
  2. Step 2: Convert to fraction form
    347,737.22/741,403.69 = 741,403.69/x
  3. Step 3: Cross multiply
    347,737.22x = 741,403.69 × 741,403.69
  4. Step 4: Simplify right side
    347,737.22x = 549,679,427,838.60
  5. Step 5: Solve for x
    x = 549,679,427,838.60/347,737.22
  6. Step 6: Final answer
    x = 1,580,732.23

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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.