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Finding the Third Proportional to 220,995 and 470,826

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Solution

The third proportional to 220,995 and 470,826 is: 1,003,086.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,995 : 470,826 = 470,826 : x
  2. Step 2: Convert to fraction form
    220,995/470,826 = 470,826/x
  3. Step 3: Cross multiply
    220,995x = 470,826 × 470,826
  4. Step 4: Simplify right side
    220,995x = 221,677,122,276
  5. Step 5: Solve for x
    x = 221,677,122,276/220,995
  6. Step 6: Final answer
    x = 1,003,086.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.