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Finding the Third Proportional to 230,791 and 349,275

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Solution

The third proportional to 230,791 and 349,275 is: 528,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,791 : 349,275 = 349,275 : x
  2. Step 2: Convert to fraction form
    230,791/349,275 = 349,275/x
  3. Step 3: Cross multiply
    230,791x = 349,275 × 349,275
  4. Step 4: Simplify right side
    230,791x = 121,993,025,625
  5. Step 5: Solve for x
    x = 121,993,025,625/230,791
  6. Step 6: Final answer
    x = 528,586.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.