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Finding the Third Proportional to 225,390 and 475,930

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Solution

The third proportional to 225,390 and 475,930 is: 1,004,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,390 : 475,930 = 475,930 : x
  2. Step 2: Convert to fraction form
    225,390/475,930 = 475,930/x
  3. Step 3: Cross multiply
    225,390x = 475,930 × 475,930
  4. Step 4: Simplify right side
    225,390x = 226,509,364,900
  5. Step 5: Solve for x
    x = 226,509,364,900/225,390
  6. Step 6: Final answer
    x = 1,004,966.35

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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.