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Finding the Third Proportional to 244,228 and 533,240

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Solution

The third proportional to 244,228 and 533,240 is: 1,164,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,228 : 533,240 = 533,240 : x
  2. Step 2: Convert to fraction form
    244,228/533,240 = 533,240/x
  3. Step 3: Cross multiply
    244,228x = 533,240 × 533,240
  4. Step 4: Simplify right side
    244,228x = 284,344,897,600
  5. Step 5: Solve for x
    x = 284,344,897,600/244,228
  6. Step 6: Final answer
    x = 1,164,260.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.