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Finding the Third Proportional to 401,226 and 836,077.50

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Solution

The third proportional to 401,226 and 836,077.50 is: 1,742,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,226 : 836,077.50 = 836,077.50 : x
  2. Step 2: Convert to fraction form
    401,226/836,077.50 = 836,077.50/x
  3. Step 3: Cross multiply
    401,226x = 836,077.50 × 836,077.50
  4. Step 4: Simplify right side
    401,226x = 699,025,586,006.25
  5. Step 5: Solve for x
    x = 699,025,586,006.25/401,226
  6. Step 6: Final answer
    x = 1,742,224.05

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