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Finding the Third Proportional to 452,006.44 and 613,882.69

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Solution

The third proportional to 452,006.44 and 613,882.69 is: 833,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,006.44 : 613,882.69 = 613,882.69 : x
  2. Step 2: Convert to fraction form
    452,006.44/613,882.69 = 613,882.69/x
  3. Step 3: Cross multiply
    452,006.44x = 613,882.69 × 613,882.69
  4. Step 4: Simplify right side
    452,006.44x = 376,851,954,012.22
  5. Step 5: Solve for x
    x = 376,851,954,012.22/452,006.44
  6. Step 6: Final answer
    x = 833,731.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.