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Finding the Third Proportional to 228,033 and 489,274.88

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Solution

The third proportional to 228,033 and 489,274.88 is: 1,049,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,033 : 489,274.88 = 489,274.88 : x
  2. Step 2: Convert to fraction form
    228,033/489,274.88 = 489,274.88/x
  3. Step 3: Cross multiply
    228,033x = 489,274.88 × 489,274.88
  4. Step 4: Simplify right side
    228,033x = 239,389,903,306.27
  5. Step 5: Solve for x
    x = 239,389,903,306.27/228,033
  6. Step 6: Final answer
    x = 1,049,803.77

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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.