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Finding the Third Proportional to 221,134 and 476,972

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Solution

The third proportional to 221,134 and 476,972 is: 1,028,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,134 : 476,972 = 476,972 : x
  2. Step 2: Convert to fraction form
    221,134/476,972 = 476,972/x
  3. Step 3: Cross multiply
    221,134x = 476,972 × 476,972
  4. Step 4: Simplify right side
    221,134x = 227,502,288,784
  5. Step 5: Solve for x
    x = 227,502,288,784/221,134
  6. Step 6: Final answer
    x = 1,028,798.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.