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Finding the Third Proportional to 211,892 and 464,248

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Solution

The third proportional to 211,892 and 464,248 is: 1,017,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,892 : 464,248 = 464,248 : x
  2. Step 2: Convert to fraction form
    211,892/464,248 = 464,248/x
  3. Step 3: Cross multiply
    211,892x = 464,248 × 464,248
  4. Step 4: Simplify right side
    211,892x = 215,526,205,504
  5. Step 5: Solve for x
    x = 215,526,205,504/211,892
  6. Step 6: Final answer
    x = 1,017,151.22

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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.