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Finding the Third Proportional to 323,237 and 511,579

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Solution

The third proportional to 323,237 and 511,579 is: 809,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,237 : 511,579 = 511,579 : x
  2. Step 2: Convert to fraction form
    323,237/511,579 = 511,579/x
  3. Step 3: Cross multiply
    323,237x = 511,579 × 511,579
  4. Step 4: Simplify right side
    323,237x = 261,713,073,241
  5. Step 5: Solve for x
    x = 261,713,073,241/323,237
  6. Step 6: Final answer
    x = 809,663.11

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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.