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Finding the Third Proportional to 299,463.75 and 452,314.13

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Solution

The third proportional to 299,463.75 and 452,314.13 is: 683,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,463.75 : 452,314.13 = 452,314.13 : x
  2. Step 2: Convert to fraction form
    299,463.75/452,314.13 = 452,314.13/x
  3. Step 3: Cross multiply
    299,463.75x = 452,314.13 × 452,314.13
  4. Step 4: Simplify right side
    299,463.75x = 204,588,067,674.52
  5. Step 5: Solve for x
    x = 204,588,067,674.52/299,463.75
  6. Step 6: Final answer
    x = 683,181.41

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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.