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Finding the Third Proportional to 226,805 and 333,646

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Solution

The third proportional to 226,805 and 333,646 is: 490,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,805 : 333,646 = 333,646 : x
  2. Step 2: Convert to fraction form
    226,805/333,646 = 333,646/x
  3. Step 3: Cross multiply
    226,805x = 333,646 × 333,646
  4. Step 4: Simplify right side
    226,805x = 111,319,653,316
  5. Step 5: Solve for x
    x = 111,319,653,316/226,805
  6. Step 6: Final answer
    x = 490,816.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.