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Finding the Third Proportional to 326,164 and 459,310

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Solution

The third proportional to 326,164 and 459,310 is: 646,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,164 : 459,310 = 459,310 : x
  2. Step 2: Convert to fraction form
    326,164/459,310 = 459,310/x
  3. Step 3: Cross multiply
    326,164x = 459,310 × 459,310
  4. Step 4: Simplify right side
    326,164x = 210,965,676,100
  5. Step 5: Solve for x
    x = 210,965,676,100/326,164
  6. Step 6: Final answer
    x = 646,808.59

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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.