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Finding the Third Proportional to 228,045 and 489,298

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Solution

The third proportional to 228,045 and 489,298 is: 1,049,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045 : 489,298 = 489,298 : x
  2. Step 2: Convert to fraction form
    228,045/489,298 = 489,298/x
  3. Step 3: Cross multiply
    228,045x = 489,298 × 489,298
  4. Step 4: Simplify right side
    228,045x = 239,412,532,804
  5. Step 5: Solve for x
    x = 239,412,532,804/228,045
  6. Step 6: Final answer
    x = 1,049,847.76

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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.