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Finding the Third Proportional to 225,005.63 and 475,300.13

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Solution

The third proportional to 225,005.63 and 475,300.13 is: 1,004,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,005.63 : 475,300.13 = 475,300.13 : x
  2. Step 2: Convert to fraction form
    225,005.63/475,300.13 = 475,300.13/x
  3. Step 3: Cross multiply
    225,005.63x = 475,300.13 × 475,300.13
  4. Step 4: Simplify right side
    225,005.63x = 225,910,208,825.02
  5. Step 5: Solve for x
    x = 225,910,208,825.02/225,005.63
  6. Step 6: Final answer
    x = 1,004,020.27

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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.