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Finding the Third Proportional to 401,592 and 836,478

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Solution

The third proportional to 401,592 and 836,478 is: 1,742,304.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,592 : 836,478 = 836,478 : x
  2. Step 2: Convert to fraction form
    401,592/836,478 = 836,478/x
  3. Step 3: Cross multiply
    401,592x = 836,478 × 836,478
  4. Step 4: Simplify right side
    401,592x = 699,695,444,484
  5. Step 5: Solve for x
    x = 699,695,444,484/401,592
  6. Step 6: Final answer
    x = 1,742,304.24

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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.