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Finding the Third Proportional to 233,781 and 511,302

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Solution

The third proportional to 233,781 and 511,302 is: 1,118,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,781 : 511,302 = 511,302 : x
  2. Step 2: Convert to fraction form
    233,781/511,302 = 511,302/x
  3. Step 3: Cross multiply
    233,781x = 511,302 × 511,302
  4. Step 4: Simplify right side
    233,781x = 261,429,735,204
  5. Step 5: Solve for x
    x = 261,429,735,204/233,781
  6. Step 6: Final answer
    x = 1,118,267.67

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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.