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Finding the Third Proportional to 323,242 and 511,586

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Solution

The third proportional to 323,242 and 511,586 is: 809,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,242 : 511,586 = 511,586 : x
  2. Step 2: Convert to fraction form
    323,242/511,586 = 511,586/x
  3. Step 3: Cross multiply
    323,242x = 511,586 × 511,586
  4. Step 4: Simplify right side
    323,242x = 261,720,235,396
  5. Step 5: Solve for x
    x = 261,720,235,396/323,242
  6. Step 6: Final answer
    x = 809,672.74

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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.