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Finding the Third Proportional to 372,718 and 591,108

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Solution

The third proportional to 372,718 and 591,108 is: 937,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,718 : 591,108 = 591,108 : x
  2. Step 2: Convert to fraction form
    372,718/591,108 = 591,108/x
  3. Step 3: Cross multiply
    372,718x = 591,108 × 591,108
  4. Step 4: Simplify right side
    372,718x = 349,408,667,664
  5. Step 5: Solve for x
    x = 349,408,667,664/372,718
  6. Step 6: Final answer
    x = 937,461.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.