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Finding the Third Proportional to 326,324 and 459,542

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Solution

The third proportional to 326,324 and 459,542 is: 647,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,324 : 459,542 = 459,542 : x
  2. Step 2: Convert to fraction form
    326,324/459,542 = 459,542/x
  3. Step 3: Cross multiply
    326,324x = 459,542 × 459,542
  4. Step 4: Simplify right side
    326,324x = 211,178,849,764
  5. Step 5: Solve for x
    x = 211,178,849,764/326,324
  6. Step 6: Final answer
    x = 647,144.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.