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Finding the Third Proportional to 200,856 and 432,832

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Solution

The third proportional to 200,856 and 432,832 is: 932,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,856 : 432,832 = 432,832 : x
  2. Step 2: Convert to fraction form
    200,856/432,832 = 432,832/x
  3. Step 3: Cross multiply
    200,856x = 432,832 × 432,832
  4. Step 4: Simplify right side
    200,856x = 187,343,540,224
  5. Step 5: Solve for x
    x = 187,343,540,224/200,856
  6. Step 6: Final answer
    x = 932,725.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.