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Finding the Third Proportional to 298,669.78 and 644,884.03

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Solution

The third proportional to 298,669.78 and 644,884.03 is: 1,392,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,669.78 : 644,884.03 = 644,884.03 : x
  2. Step 2: Convert to fraction form
    298,669.78/644,884.03 = 644,884.03/x
  3. Step 3: Cross multiply
    298,669.78x = 644,884.03 × 644,884.03
  4. Step 4: Simplify right side
    298,669.78x = 415,875,413,761.25
  5. Step 5: Solve for x
    x = 415,875,413,761.25/298,669.78
  6. Step 6: Final answer
    x = 1,392,425.48

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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.