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Finding the Third Proportional to 401,650 and 836,562

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Solution

The third proportional to 401,650 and 836,562 is: 1,742,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,650 : 836,562 = 836,562 : x
  2. Step 2: Convert to fraction form
    401,650/836,562 = 836,562/x
  3. Step 3: Cross multiply
    401,650x = 836,562 × 836,562
  4. Step 4: Simplify right side
    401,650x = 699,835,979,844
  5. Step 5: Solve for x
    x = 699,835,979,844/401,650
  6. Step 6: Final answer
    x = 1,742,402.54

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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.