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Finding the Third Proportional to 211,727 and 464,926

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Solution

The third proportional to 211,727 and 464,926 is: 1,020,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,727 : 464,926 = 464,926 : x
  2. Step 2: Convert to fraction form
    211,727/464,926 = 464,926/x
  3. Step 3: Cross multiply
    211,727x = 464,926 × 464,926
  4. Step 4: Simplify right side
    211,727x = 216,156,185,476
  5. Step 5: Solve for x
    x = 216,156,185,476/211,727
  6. Step 6: Final answer
    x = 1,020,919.32

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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.