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Finding the Third Proportional to 226,284 and 468,219

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Solution

The third proportional to 226,284 and 468,219 is: 968,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,284 : 468,219 = 468,219 : x
  2. Step 2: Convert to fraction form
    226,284/468,219 = 468,219/x
  3. Step 3: Cross multiply
    226,284x = 468,219 × 468,219
  4. Step 4: Simplify right side
    226,284x = 219,229,031,961
  5. Step 5: Solve for x
    x = 219,229,031,961/226,284
  6. Step 6: Final answer
    x = 968,822.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.