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Finding the Third Proportional to 320,498 and 464,211

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Solution

The third proportional to 320,498 and 464,211 is: 672,365.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,498 : 464,211 = 464,211 : x
  2. Step 2: Convert to fraction form
    320,498/464,211 = 464,211/x
  3. Step 3: Cross multiply
    320,498x = 464,211 × 464,211
  4. Step 4: Simplify right side
    320,498x = 215,491,852,521
  5. Step 5: Solve for x
    x = 215,491,852,521/320,498
  6. Step 6: Final answer
    x = 672,365.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.