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Finding the Third Proportional to 299,284.88 and 646,045.88

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Solution

The third proportional to 299,284.88 and 646,045.88 is: 1,394,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,284.88 : 646,045.88 = 646,045.88 : x
  2. Step 2: Convert to fraction form
    299,284.88/646,045.88 = 646,045.88/x
  3. Step 3: Cross multiply
    299,284.88x = 646,045.88 × 646,045.88
  4. Step 4: Simplify right side
    299,284.88x = 417,375,272,604.52
  5. Step 5: Solve for x
    x = 417,375,272,604.52/299,284.88
  6. Step 6: Final answer
    x = 1,394,575.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.