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Finding the Third Proportional to 221,297.06 and 474,835.29

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Solution

The third proportional to 221,297.06 and 474,835.29 is: 1,018,850.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,297.06 : 474,835.29 = 474,835.29 : x
  2. Step 2: Convert to fraction form
    221,297.06/474,835.29 = 474,835.29/x
  3. Step 3: Cross multiply
    221,297.06x = 474,835.29 × 474,835.29
  4. Step 4: Simplify right side
    221,297.06x = 225,468,551,739.07
  5. Step 5: Solve for x
    x = 225,468,551,739.07/221,297.06
  6. Step 6: Final answer
    x = 1,018,850.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.