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Finding the Third Proportional to 298,523.25 and 644,563.13

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Solution

The third proportional to 298,523.25 and 644,563.13 is: 1,391,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,523.25 : 644,563.13 = 644,563.13 : x
  2. Step 2: Convert to fraction form
    298,523.25/644,563.13 = 644,563.13/x
  3. Step 3: Cross multiply
    298,523.25x = 644,563.13 × 644,563.13
  4. Step 4: Simplify right side
    298,523.25x = 415,461,622,109.77
  5. Step 5: Solve for x
    x = 415,461,622,109.77/298,523.25
  6. Step 6: Final answer
    x = 1,391,722.83

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