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Finding the Third Proportional to 301,486 and 443,238

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Solution

The third proportional to 301,486 and 443,238 is: 651,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,486 : 443,238 = 443,238 : x
  2. Step 2: Convert to fraction form
    301,486/443,238 = 443,238/x
  3. Step 3: Cross multiply
    301,486x = 443,238 × 443,238
  4. Step 4: Simplify right side
    301,486x = 196,459,924,644
  5. Step 5: Solve for x
    x = 196,459,924,644/301,486
  6. Step 6: Final answer
    x = 651,638.63

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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.