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Finding the Third Proportional to 299,365.88 and 452,147.06

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Solution

The third proportional to 299,365.88 and 452,147.06 is: 682,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,365.88 : 452,147.06 = 452,147.06 : x
  2. Step 2: Convert to fraction form
    299,365.88/452,147.06 = 452,147.06/x
  3. Step 3: Cross multiply
    299,365.88x = 452,147.06 × 452,147.06
  4. Step 4: Simplify right side
    299,365.88x = 204,436,966,127.38
  5. Step 5: Solve for x
    x = 204,436,966,127.38/299,365.88
  6. Step 6: Final answer
    x = 682,900.03

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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.