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Finding the Third Proportional to 220,364 and 475,708

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Solution

The third proportional to 220,364 and 475,708 is: 1,026,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,364 : 475,708 = 475,708 : x
  2. Step 2: Convert to fraction form
    220,364/475,708 = 475,708/x
  3. Step 3: Cross multiply
    220,364x = 475,708 × 475,708
  4. Step 4: Simplify right side
    220,364x = 226,298,101,264
  5. Step 5: Solve for x
    x = 226,298,101,264/220,364
  6. Step 6: Final answer
    x = 1,026,928.63

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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.