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Finding the Third Proportional to 401,644 and 836,552

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Solution

The third proportional to 401,644 and 836,552 is: 1,742,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,644 : 836,552 = 836,552 : x
  2. Step 2: Convert to fraction form
    401,644/836,552 = 836,552/x
  3. Step 3: Cross multiply
    401,644x = 836,552 × 836,552
  4. Step 4: Simplify right side
    401,644x = 699,819,248,704
  5. Step 5: Solve for x
    x = 699,819,248,704/401,644
  6. Step 6: Final answer
    x = 1,742,386.91

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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.