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Finding the Third Proportional to 298,642 and 649,772

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Solution

The third proportional to 298,642 and 649,772 is: 1,413,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,642 : 649,772 = 649,772 : x
  2. Step 2: Convert to fraction form
    298,642/649,772 = 649,772/x
  3. Step 3: Cross multiply
    298,642x = 649,772 × 649,772
  4. Step 4: Simplify right side
    298,642x = 422,203,651,984
  5. Step 5: Solve for x
    x = 422,203,651,984/298,642
  6. Step 6: Final answer
    x = 1,413,745.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.