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Finding the Third Proportional to 349,328 and 541,063

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Solution

The third proportional to 349,328 and 541,063 is: 838,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328 : 541,063 = 541,063 : x
  2. Step 2: Convert to fraction form
    349,328/541,063 = 541,063/x
  3. Step 3: Cross multiply
    349,328x = 541,063 × 541,063
  4. Step 4: Simplify right side
    349,328x = 292,749,169,969
  5. Step 5: Solve for x
    x = 292,749,169,969/349,328
  6. Step 6: Final answer
    x = 838,035.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.