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Finding the Third Proportional to 574,811 and 870,168.75

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Solution

The third proportional to 574,811 and 870,168.75 is: 1,317,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,811 : 870,168.75 = 870,168.75 : x
  2. Step 2: Convert to fraction form
    574,811/870,168.75 = 870,168.75/x
  3. Step 3: Cross multiply
    574,811x = 870,168.75 × 870,168.75
  4. Step 4: Simplify right side
    574,811x = 757,193,653,476.56
  5. Step 5: Solve for x
    x = 757,193,653,476.56/574,811
  6. Step 6: Final answer
    x = 1,317,291.52

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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.