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Finding the Third Proportional to 323,235 and 511,575.75

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Solution

The third proportional to 323,235 and 511,575.75 is: 809,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,235 : 511,575.75 = 511,575.75 : x
  2. Step 2: Convert to fraction form
    323,235/511,575.75 = 511,575.75/x
  3. Step 3: Cross multiply
    323,235x = 511,575.75 × 511,575.75
  4. Step 4: Simplify right side
    323,235x = 261,709,747,988.06
  5. Step 5: Solve for x
    x = 261,709,747,988.06/323,235
  6. Step 6: Final answer
    x = 809,657.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.