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Finding the Third Proportional to 372,168 and 591,948

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Solution

The third proportional to 372,168 and 591,948 is: 941,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,168 : 591,948 = 591,948 : x
  2. Step 2: Convert to fraction form
    372,168/591,948 = 591,948/x
  3. Step 3: Cross multiply
    372,168x = 591,948 × 591,948
  4. Step 4: Simplify right side
    372,168x = 350,402,434,704
  5. Step 5: Solve for x
    x = 350,402,434,704/372,168
  6. Step 6: Final answer
    x = 941,516.83

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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.