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Finding the Third Proportional to 361,016 and 529,208

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Solution

The third proportional to 361,016 and 529,208 is: 775,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,016 : 529,208 = 529,208 : x
  2. Step 2: Convert to fraction form
    361,016/529,208 = 529,208/x
  3. Step 3: Cross multiply
    361,016x = 529,208 × 529,208
  4. Step 4: Simplify right side
    361,016x = 280,061,107,264
  5. Step 5: Solve for x
    x = 280,061,107,264/361,016
  6. Step 6: Final answer
    x = 775,758.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.