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Finding the Third Proportional to 326,186 and 459,344

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Solution

The third proportional to 326,186 and 459,344 is: 646,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,186 : 459,344 = 459,344 : x
  2. Step 2: Convert to fraction form
    326,186/459,344 = 459,344/x
  3. Step 3: Cross multiply
    326,186x = 459,344 × 459,344
  4. Step 4: Simplify right side
    326,186x = 210,996,910,336
  5. Step 5: Solve for x
    x = 210,996,910,336/326,186
  6. Step 6: Final answer
    x = 646,860.72

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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.