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Finding the Third Proportional to 299,119.24 and 452,239.14

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Solution

The third proportional to 299,119.24 and 452,239.14 is: 683,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,119.24 : 452,239.14 = 452,239.14 : x
  2. Step 2: Convert to fraction form
    299,119.24/452,239.14 = 452,239.14/x
  3. Step 3: Cross multiply
    299,119.24x = 452,239.14 × 452,239.14
  4. Step 4: Simplify right side
    299,119.24x = 204,520,236,780.12
  5. Step 5: Solve for x
    x = 204,520,236,780.12/299,119.24
  6. Step 6: Final answer
    x = 683,741.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.