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Finding the Third Proportional to 211,944 and 465,718

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Solution

The third proportional to 211,944 and 465,718 is: 1,023,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,944 : 465,718 = 465,718 : x
  2. Step 2: Convert to fraction form
    211,944/465,718 = 465,718/x
  3. Step 3: Cross multiply
    211,944x = 465,718 × 465,718
  4. Step 4: Simplify right side
    211,944x = 216,893,255,524
  5. Step 5: Solve for x
    x = 216,893,255,524/211,944
  6. Step 6: Final answer
    x = 1,023,351.71

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