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Finding the Third Proportional to 227,848 and 532,360

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Solution

The third proportional to 227,848 and 532,360 is: 1,243,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,848 : 532,360 = 532,360 : x
  2. Step 2: Convert to fraction form
    227,848/532,360 = 532,360/x
  3. Step 3: Cross multiply
    227,848x = 532,360 × 532,360
  4. Step 4: Simplify right side
    227,848x = 283,407,169,600
  5. Step 5: Solve for x
    x = 283,407,169,600/227,848
  6. Step 6: Final answer
    x = 1,243,843.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.