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Finding the Third Proportional to 326,310 and 459,524

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Solution

The third proportional to 326,310 and 459,524 is: 647,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,310 : 459,524 = 459,524 : x
  2. Step 2: Convert to fraction form
    326,310/459,524 = 459,524/x
  3. Step 3: Cross multiply
    326,310x = 459,524 × 459,524
  4. Step 4: Simplify right side
    326,310x = 211,162,306,576
  5. Step 5: Solve for x
    x = 211,162,306,576/326,310
  6. Step 6: Final answer
    x = 647,121.78

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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.