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Finding the Third Proportional to 204,028.88 and 424,613.81

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Solution

The third proportional to 204,028.88 and 424,613.81 is: 883,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,028.88 : 424,613.81 = 424,613.81 : x
  2. Step 2: Convert to fraction form
    204,028.88/424,613.81 = 424,613.81/x
  3. Step 3: Cross multiply
    204,028.88x = 424,613.81 × 424,613.81
  4. Step 4: Simplify right side
    204,028.88x = 180,296,889,765.79
  5. Step 5: Solve for x
    x = 180,296,889,765.79/204,028.88
  6. Step 6: Final answer
    x = 883,683.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.