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Finding the Third Proportional to 226,152 and 487,908

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Solution

The third proportional to 226,152 and 487,908 is: 1,052,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,152 : 487,908 = 487,908 : x
  2. Step 2: Convert to fraction form
    226,152/487,908 = 487,908/x
  3. Step 3: Cross multiply
    226,152x = 487,908 × 487,908
  4. Step 4: Simplify right side
    226,152x = 238,054,216,464
  5. Step 5: Solve for x
    x = 238,054,216,464/226,152
  6. Step 6: Final answer
    x = 1,052,629.28

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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.