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Finding the Third Proportional to 326,972 and 443,802

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Solution

The third proportional to 326,972 and 443,802 is: 602,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,972 : 443,802 = 443,802 : x
  2. Step 2: Convert to fraction form
    326,972/443,802 = 443,802/x
  3. Step 3: Cross multiply
    326,972x = 443,802 × 443,802
  4. Step 4: Simplify right side
    326,972x = 196,960,215,204
  5. Step 5: Solve for x
    x = 196,960,215,204/326,972
  6. Step 6: Final answer
    x = 602,376.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.