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Finding the Third Proportional to 401,715 and 836,718.75

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Solution

The third proportional to 401,715 and 836,718.75 is: 1,742,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715 : 836,718.75 = 836,718.75 : x
  2. Step 2: Convert to fraction form
    401,715/836,718.75 = 836,718.75/x
  3. Step 3: Cross multiply
    401,715x = 836,718.75 × 836,718.75
  4. Step 4: Simplify right side
    401,715x = 700,098,266,601.56
  5. Step 5: Solve for x
    x = 700,098,266,601.56/401,715
  6. Step 6: Final answer
    x = 1,742,773.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.