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Finding the Third Proportional to 226,364 and 488,304

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Solution

The third proportional to 226,364 and 488,304 is: 1,053,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364 : 488,304 = 488,304 : x
  2. Step 2: Convert to fraction form
    226,364/488,304 = 488,304/x
  3. Step 3: Cross multiply
    226,364x = 488,304 × 488,304
  4. Step 4: Simplify right side
    226,364x = 238,440,796,416
  5. Step 5: Solve for x
    x = 238,440,796,416/226,364
  6. Step 6: Final answer
    x = 1,053,351.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.