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Finding the Third Proportional to 416,588 and 862,716

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Solution

The third proportional to 416,588 and 862,716 is: 1,786,606.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,588 : 862,716 = 862,716 : x
  2. Step 2: Convert to fraction form
    416,588/862,716 = 862,716/x
  3. Step 3: Cross multiply
    416,588x = 862,716 × 862,716
  4. Step 4: Simplify right side
    416,588x = 744,278,896,656
  5. Step 5: Solve for x
    x = 744,278,896,656/416,588
  6. Step 6: Final answer
    x = 1,786,606.66

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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.