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Finding the Third Proportional to 336,164 and 717,256

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Solution

The third proportional to 336,164 and 717,256 is: 1,530,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,164 : 717,256 = 717,256 : x
  2. Step 2: Convert to fraction form
    336,164/717,256 = 717,256/x
  3. Step 3: Cross multiply
    336,164x = 717,256 × 717,256
  4. Step 4: Simplify right side
    336,164x = 514,456,169,536
  5. Step 5: Solve for x
    x = 514,456,169,536/336,164
  6. Step 6: Final answer
    x = 1,530,372.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.