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Finding the Third Proportional to 323,318 and 704,542

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Solution

The third proportional to 323,318 and 704,542 is: 1,535,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,318 : 704,542 = 704,542 : x
  2. Step 2: Convert to fraction form
    323,318/704,542 = 704,542/x
  3. Step 3: Cross multiply
    323,318x = 704,542 × 704,542
  4. Step 4: Simplify right side
    323,318x = 496,379,429,764
  5. Step 5: Solve for x
    x = 496,379,429,764/323,318
  6. Step 6: Final answer
    x = 1,535,266.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.