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Finding the Third Proportional to 404,241 and 862,710

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Solution

The third proportional to 404,241 and 862,710 is: 1,841,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,241 : 862,710 = 862,710 : x
  2. Step 2: Convert to fraction form
    404,241/862,710 = 862,710/x
  3. Step 3: Cross multiply
    404,241x = 862,710 × 862,710
  4. Step 4: Simplify right side
    404,241x = 744,268,544,100
  5. Step 5: Solve for x
    x = 744,268,544,100/404,241
  6. Step 6: Final answer
    x = 1,841,150.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.