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Finding the Third Proportional to 301,180.88 and 654,850.13

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Solution

The third proportional to 301,180.88 and 654,850.13 is: 1,423,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,180.88 : 654,850.13 = 654,850.13 : x
  2. Step 2: Convert to fraction form
    301,180.88/654,850.13 = 654,850.13/x
  3. Step 3: Cross multiply
    301,180.88x = 654,850.13 × 654,850.13
  4. Step 4: Simplify right side
    301,180.88x = 428,828,686,212.52
  5. Step 5: Solve for x
    x = 428,828,686,212.52/301,180.88
  6. Step 6: Final answer
    x = 1,423,824.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.