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Finding the Third Proportional to 299,116.13 and 443,977.88

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Solution

The third proportional to 299,116.13 and 443,977.88 is: 658,996.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,116.13 : 443,977.88 = 443,977.88 : x
  2. Step 2: Convert to fraction form
    299,116.13/443,977.88 = 443,977.88/x
  3. Step 3: Cross multiply
    299,116.13x = 443,977.88 × 443,977.88
  4. Step 4: Simplify right side
    299,116.13x = 197,116,353,489.52
  5. Step 5: Solve for x
    x = 197,116,353,489.52/299,116.13
  6. Step 6: Final answer
    x = 658,996.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.