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Finding the Third Proportional to 233,611 and 502,761

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Solution

The third proportional to 233,611 and 502,761 is: 1,082,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,611 : 502,761 = 502,761 : x
  2. Step 2: Convert to fraction form
    233,611/502,761 = 502,761/x
  3. Step 3: Cross multiply
    233,611x = 502,761 × 502,761
  4. Step 4: Simplify right side
    233,611x = 252,768,623,121
  5. Step 5: Solve for x
    x = 252,768,623,121/233,611
  6. Step 6: Final answer
    x = 1,082,006.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.