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Finding the Third Proportional to 221,703 and 474,906

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Solution

The third proportional to 221,703 and 474,906 is: 1,017,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,703 : 474,906 = 474,906 : x
  2. Step 2: Convert to fraction form
    221,703/474,906 = 474,906/x
  3. Step 3: Cross multiply
    221,703x = 474,906 × 474,906
  4. Step 4: Simplify right side
    221,703x = 225,535,708,836
  5. Step 5: Solve for x
    x = 225,535,708,836/221,703
  6. Step 6: Final answer
    x = 1,017,287.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.