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Finding the Third Proportional to 339,218 and 527,505

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Solution

The third proportional to 339,218 and 527,505 is: 820,302.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,218 : 527,505 = 527,505 : x
  2. Step 2: Convert to fraction form
    339,218/527,505 = 527,505/x
  3. Step 3: Cross multiply
    339,218x = 527,505 × 527,505
  4. Step 4: Simplify right side
    339,218x = 278,261,525,025
  5. Step 5: Solve for x
    x = 278,261,525,025/339,218
  6. Step 6: Final answer
    x = 820,302.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.