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Finding the Third Proportional to 225,128 and 475,600

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Solution

The third proportional to 225,128 and 475,600 is: 1,004,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,128 : 475,600 = 475,600 : x
  2. Step 2: Convert to fraction form
    225,128/475,600 = 475,600/x
  3. Step 3: Cross multiply
    225,128x = 475,600 × 475,600
  4. Step 4: Simplify right side
    225,128x = 226,195,360,000
  5. Step 5: Solve for x
    x = 226,195,360,000/225,128
  6. Step 6: Final answer
    x = 1,004,741.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.