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Finding the Third Proportional to 384,168.76 and 563,797.49

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Solution

The third proportional to 384,168.76 and 563,797.49 is: 827,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,168.76 : 563,797.49 = 563,797.49 : x
  2. Step 2: Convert to fraction form
    384,168.76/563,797.49 = 563,797.49/x
  3. Step 3: Cross multiply
    384,168.76x = 563,797.49 × 563,797.49
  4. Step 4: Simplify right side
    384,168.76x = 317,867,614,399.24
  5. Step 5: Solve for x
    x = 317,867,614,399.24/384,168.76
  6. Step 6: Final answer
    x = 827,416.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.