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Finding the Third Proportional to 336,104 and 532,456

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Solution

The third proportional to 336,104 and 532,456 is: 843,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,104 : 532,456 = 532,456 : x
  2. Step 2: Convert to fraction form
    336,104/532,456 = 532,456/x
  3. Step 3: Cross multiply
    336,104x = 532,456 × 532,456
  4. Step 4: Simplify right side
    336,104x = 283,509,391,936
  5. Step 5: Solve for x
    x = 283,509,391,936/336,104
  6. Step 6: Final answer
    x = 843,516.86

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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.