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Finding the Third Proportional to 225,353 and 456,928

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Solution

The third proportional to 225,353 and 456,928 is: 926,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,353 : 456,928 = 456,928 : x
  2. Step 2: Convert to fraction form
    225,353/456,928 = 456,928/x
  3. Step 3: Cross multiply
    225,353x = 456,928 × 456,928
  4. Step 4: Simplify right side
    225,353x = 208,783,197,184
  5. Step 5: Solve for x
    x = 208,783,197,184/225,353
  6. Step 6: Final answer
    x = 926,471.79

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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.