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Finding the Third Proportional to 438,016 and 484,096

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Solution

The third proportional to 438,016 and 484,096 is: 535,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,016 : 484,096 = 484,096 : x
  2. Step 2: Convert to fraction form
    438,016/484,096 = 484,096/x
  3. Step 3: Cross multiply
    438,016x = 484,096 × 484,096
  4. Step 4: Simplify right side
    438,016x = 234,348,937,216
  5. Step 5: Solve for x
    x = 234,348,937,216/438,016
  6. Step 6: Final answer
    x = 535,023.69

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.