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Finding the Third Proportional to 383,005.13 and 576,159.75

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Solution

The third proportional to 383,005.13 and 576,159.75 is: 866,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,005.13 : 576,159.75 = 576,159.75 : x
  2. Step 2: Convert to fraction form
    383,005.13/576,159.75 = 576,159.75/x
  3. Step 3: Cross multiply
    383,005.13x = 576,159.75 × 576,159.75
  4. Step 4: Simplify right side
    383,005.13x = 331,960,057,520.06
  5. Step 5: Solve for x
    x = 331,960,057,520.06/383,005.13
  6. Step 6: Final answer
    x = 866,724.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.