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Finding the Third Proportional to 383,105.25 and 577,572.75

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Solution

The third proportional to 383,105.25 and 577,572.75 is: 870,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,105.25 : 577,572.75 = 577,572.75 : x
  2. Step 2: Convert to fraction form
    383,105.25/577,572.75 = 577,572.75/x
  3. Step 3: Cross multiply
    383,105.25x = 577,572.75 × 577,572.75
  4. Step 4: Simplify right side
    383,105.25x = 333,590,281,542.56
  5. Step 5: Solve for x
    x = 333,590,281,542.56/383,105.25
  6. Step 6: Final answer
    x = 870,753.62

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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.