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Finding the Third Proportional to 301,064 and 443,279

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Solution

The third proportional to 301,064 and 443,279 is: 652,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,064 : 443,279 = 443,279 : x
  2. Step 2: Convert to fraction form
    301,064/443,279 = 443,279/x
  3. Step 3: Cross multiply
    301,064x = 443,279 × 443,279
  4. Step 4: Simplify right side
    301,064x = 196,496,271,841
  5. Step 5: Solve for x
    x = 196,496,271,841/301,064
  6. Step 6: Final answer
    x = 652,672.76

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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.