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Finding the Third Proportional to 326,199 and 459,364

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Solution

The third proportional to 326,199 and 459,364 is: 646,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,199 : 459,364 = 459,364 : x
  2. Step 2: Convert to fraction form
    326,199/459,364 = 459,364/x
  3. Step 3: Cross multiply
    326,199x = 459,364 × 459,364
  4. Step 4: Simplify right side
    326,199x = 211,015,284,496
  5. Step 5: Solve for x
    x = 211,015,284,496/326,199
  6. Step 6: Final answer
    x = 646,891.27

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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.