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Finding the Third Proportional to 225,351 and 456,925

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Solution

The third proportional to 225,351 and 456,925 is: 926,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,351 : 456,925 = 456,925 : x
  2. Step 2: Convert to fraction form
    225,351/456,925 = 456,925/x
  3. Step 3: Cross multiply
    225,351x = 456,925 × 456,925
  4. Step 4: Simplify right side
    225,351x = 208,780,455,625
  5. Step 5: Solve for x
    x = 208,780,455,625/225,351
  6. Step 6: Final answer
    x = 926,467.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.