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Finding the Third Proportional to 574,812 and 870,168

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Solution

The third proportional to 574,812 and 870,168 is: 1,317,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,812 : 870,168 = 870,168 : x
  2. Step 2: Convert to fraction form
    574,812/870,168 = 870,168/x
  3. Step 3: Cross multiply
    574,812x = 870,168 × 870,168
  4. Step 4: Simplify right side
    574,812x = 757,192,348,224
  5. Step 5: Solve for x
    x = 757,192,348,224/574,812
  6. Step 6: Final answer
    x = 1,317,286.95

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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.