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Finding the Third Proportional to 299,273.50 and 646,026

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Solution

The third proportional to 299,273.50 and 646,026 is: 1,394,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,273.50 : 646,026 = 646,026 : x
  2. Step 2: Convert to fraction form
    299,273.50/646,026 = 646,026/x
  3. Step 3: Cross multiply
    299,273.50x = 646,026 × 646,026
  4. Step 4: Simplify right side
    299,273.50x = 417,349,592,676
  5. Step 5: Solve for x
    x = 417,349,592,676/299,273.50
  6. Step 6: Final answer
    x = 1,394,542.43

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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.