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Finding the Third Proportional to 225,504 and 356,806

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Solution

The third proportional to 225,504 and 356,806 is: 564,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504 : 356,806 = 356,806 : x
  2. Step 2: Convert to fraction form
    225,504/356,806 = 356,806/x
  3. Step 3: Cross multiply
    225,504x = 356,806 × 356,806
  4. Step 4: Simplify right side
    225,504x = 127,310,521,636
  5. Step 5: Solve for x
    x = 127,310,521,636/225,504
  6. Step 6: Final answer
    x = 564,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.