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Finding the Third Proportional to 233,597 and 365,965

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Solution

The third proportional to 233,597 and 365,965 is: 573,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,597 : 365,965 = 365,965 : x
  2. Step 2: Convert to fraction form
    233,597/365,965 = 365,965/x
  3. Step 3: Cross multiply
    233,597x = 365,965 × 365,965
  4. Step 4: Simplify right side
    233,597x = 133,930,381,225
  5. Step 5: Solve for x
    x = 133,930,381,225/233,597
  6. Step 6: Final answer
    x = 573,339.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.