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Finding the Third Proportional to 301,156 and 443,422

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Solution

The third proportional to 301,156 and 443,422 is: 652,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,156 : 443,422 = 443,422 : x
  2. Step 2: Convert to fraction form
    301,156/443,422 = 443,422/x
  3. Step 3: Cross multiply
    301,156x = 443,422 × 443,422
  4. Step 4: Simplify right side
    301,156x = 196,623,070,084
  5. Step 5: Solve for x
    x = 196,623,070,084/301,156
  6. Step 6: Final answer
    x = 652,894.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.