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Finding the Third Proportional to 336,096 and 532,449

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Solution

The third proportional to 336,096 and 532,449 is: 843,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,096 : 532,449 = 532,449 : x
  2. Step 2: Convert to fraction form
    336,096/532,449 = 532,449/x
  3. Step 3: Cross multiply
    336,096x = 532,449 × 532,449
  4. Step 4: Simplify right side
    336,096x = 283,501,937,601
  5. Step 5: Solve for x
    x = 283,501,937,601/336,096
  6. Step 6: Final answer
    x = 843,514.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.