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Finding the Third Proportional to 211,946 and 465,722

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Solution

The third proportional to 211,946 and 465,722 is: 1,023,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,946 : 465,722 = 465,722 : x
  2. Step 2: Convert to fraction form
    211,946/465,722 = 465,722/x
  3. Step 3: Cross multiply
    211,946x = 465,722 × 465,722
  4. Step 4: Simplify right side
    211,946x = 216,896,981,284
  5. Step 5: Solve for x
    x = 216,896,981,284/211,946
  6. Step 6: Final answer
    x = 1,023,359.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.