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Finding the Third Proportional to 563,872 and 863,668

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Solution

The third proportional to 563,872 and 863,668 is: 1,322,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,872 : 863,668 = 863,668 : x
  2. Step 2: Convert to fraction form
    563,872/863,668 = 863,668/x
  3. Step 3: Cross multiply
    563,872x = 863,668 × 863,668
  4. Step 4: Simplify right side
    563,872x = 745,922,414,224
  5. Step 5: Solve for x
    x = 745,922,414,224/563,872
  6. Step 6: Final answer
    x = 1,322,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.