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Finding the Third Proportional to 226,364 and 467,076

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Solution

The third proportional to 226,364 and 467,076 is: 963,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,364 : 467,076 = 467,076 : x
  2. Step 2: Convert to fraction form
    226,364/467,076 = 467,076/x
  3. Step 3: Cross multiply
    226,364x = 467,076 × 467,076
  4. Step 4: Simplify right side
    226,364x = 218,159,989,776
  5. Step 5: Solve for x
    x = 218,159,989,776/226,364
  6. Step 6: Final answer
    x = 963,757.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.