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Finding the Third Proportional to 298,247.44 and 451,712.53

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Solution

The third proportional to 298,247.44 and 451,712.53 is: 684,144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,247.44 : 451,712.53 = 451,712.53 : x
  2. Step 2: Convert to fraction form
    298,247.44/451,712.53 = 451,712.53/x
  3. Step 3: Cross multiply
    298,247.44x = 451,712.53 × 451,712.53
  4. Step 4: Simplify right side
    298,247.44x = 204,044,210,888.28
  5. Step 5: Solve for x
    x = 204,044,210,888.28/298,247.44
  6. Step 6: Final answer
    x = 684,144.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.