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Finding the Third Proportional to 233,776.50 and 511,293

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Solution

The third proportional to 233,776.50 and 511,293 is: 1,118,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,776.50 : 511,293 = 511,293 : x
  2. Step 2: Convert to fraction form
    233,776.50/511,293 = 511,293/x
  3. Step 3: Cross multiply
    233,776.50x = 511,293 × 511,293
  4. Step 4: Simplify right side
    233,776.50x = 261,420,531,849
  5. Step 5: Solve for x
    x = 261,420,531,849/233,776.50
  6. Step 6: Final answer
    x = 1,118,249.83

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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.