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Finding the Third Proportional to 233,331.75 and 511,861.50

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Solution

The third proportional to 233,331.75 and 511,861.50 is: 1,122,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,331.75 : 511,861.50 = 511,861.50 : x
  2. Step 2: Convert to fraction form
    233,331.75/511,861.50 = 511,861.50/x
  3. Step 3: Cross multiply
    233,331.75x = 511,861.50 × 511,861.50
  4. Step 4: Simplify right side
    233,331.75x = 262,002,195,182.25
  5. Step 5: Solve for x
    x = 262,002,195,182.25/233,331.75
  6. Step 6: Final answer
    x = 1,122,874.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.