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Finding the Third Proportional to 288,204.75 and 460,414.13

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Solution

The third proportional to 288,204.75 and 460,414.13 is: 735,522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,204.75 : 460,414.13 = 460,414.13 : x
  2. Step 2: Convert to fraction form
    288,204.75/460,414.13 = 460,414.13/x
  3. Step 3: Cross multiply
    288,204.75x = 460,414.13 × 460,414.13
  4. Step 4: Simplify right side
    288,204.75x = 211,981,166,499.52
  5. Step 5: Solve for x
    x = 211,981,166,499.52/288,204.75
  6. Step 6: Final answer
    x = 735,522.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.