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Finding the Third Proportional to 216,266 and 474,634

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Solution

The third proportional to 216,266 and 474,634 is: 1,041,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,266 : 474,634 = 474,634 : x
  2. Step 2: Convert to fraction form
    216,266/474,634 = 474,634/x
  3. Step 3: Cross multiply
    216,266x = 474,634 × 474,634
  4. Step 4: Simplify right side
    216,266x = 225,277,433,956
  5. Step 5: Solve for x
    x = 225,277,433,956/216,266
  6. Step 6: Final answer
    x = 1,041,668.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.