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Finding the Third Proportional to 416,565 and 862,667

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Solution

The third proportional to 416,565 and 862,667 is: 1,786,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,565 : 862,667 = 862,667 : x
  2. Step 2: Convert to fraction form
    416,565/862,667 = 862,667/x
  3. Step 3: Cross multiply
    416,565x = 862,667 × 862,667
  4. Step 4: Simplify right side
    416,565x = 744,194,352,889
  5. Step 5: Solve for x
    x = 744,194,352,889/416,565
  6. Step 6: Final answer
    x = 1,786,502.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.