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Finding the Third Proportional to 211,927 and 460,304

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Solution

The third proportional to 211,927 and 460,304 is: 999,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,927 : 460,304 = 460,304 : x
  2. Step 2: Convert to fraction form
    211,927/460,304 = 460,304/x
  3. Step 3: Cross multiply
    211,927x = 460,304 × 460,304
  4. Step 4: Simplify right side
    211,927x = 211,879,772,416
  5. Step 5: Solve for x
    x = 211,879,772,416/211,927
  6. Step 6: Final answer
    x = 999,777.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.