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Finding the Third Proportional to 323,238 and 511,581

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Solution

The third proportional to 323,238 and 511,581 is: 809,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,238 : 511,581 = 511,581 : x
  2. Step 2: Convert to fraction form
    323,238/511,581 = 511,581/x
  3. Step 3: Cross multiply
    323,238x = 511,581 × 511,581
  4. Step 4: Simplify right side
    323,238x = 261,715,119,561
  5. Step 5: Solve for x
    x = 261,715,119,561/323,238
  6. Step 6: Final answer
    x = 809,666.93

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