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Finding the Third Proportional to 185,949 and 402,804

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Solution

The third proportional to 185,949 and 402,804 is: 872,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,949 : 402,804 = 402,804 : x
  2. Step 2: Convert to fraction form
    185,949/402,804 = 402,804/x
  3. Step 3: Cross multiply
    185,949x = 402,804 × 402,804
  4. Step 4: Simplify right side
    185,949x = 162,251,062,416
  5. Step 5: Solve for x
    x = 162,251,062,416/185,949
  6. Step 6: Final answer
    x = 872,556.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.