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Finding the Third Proportional to 401,976 and 851,616

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Solution

The third proportional to 401,976 and 851,616 is: 1,804,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,976 : 851,616 = 851,616 : x
  2. Step 2: Convert to fraction form
    401,976/851,616 = 851,616/x
  3. Step 3: Cross multiply
    401,976x = 851,616 × 851,616
  4. Step 4: Simplify right side
    401,976x = 725,249,811,456
  5. Step 5: Solve for x
    x = 725,249,811,456/401,976
  6. Step 6: Final answer
    x = 1,804,211.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.