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Finding the Third Proportional to 225,148 and 475,628

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Solution

The third proportional to 225,148 and 475,628 is: 1,004,770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,148 : 475,628 = 475,628 : x
  2. Step 2: Convert to fraction form
    225,148/475,628 = 475,628/x
  3. Step 3: Cross multiply
    225,148x = 475,628 × 475,628
  4. Step 4: Simplify right side
    225,148x = 226,221,994,384
  5. Step 5: Solve for x
    x = 226,221,994,384/225,148
  6. Step 6: Final answer
    x = 1,004,770.17

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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.