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Finding the Third Proportional to 225,968 and 486,928

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Solution

The third proportional to 225,968 and 486,928 is: 1,049,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,968 : 486,928 = 486,928 : x
  2. Step 2: Convert to fraction form
    225,968/486,928 = 486,928/x
  3. Step 3: Cross multiply
    225,968x = 486,928 × 486,928
  4. Step 4: Simplify right side
    225,968x = 237,098,877,184
  5. Step 5: Solve for x
    x = 237,098,877,184/225,968
  6. Step 6: Final answer
    x = 1,049,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.