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Finding the Third Proportional to 199,652 and 432,501

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Solution

The third proportional to 199,652 and 432,501 is: 936,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,652 : 432,501 = 432,501 : x
  2. Step 2: Convert to fraction form
    199,652/432,501 = 432,501/x
  3. Step 3: Cross multiply
    199,652x = 432,501 × 432,501
  4. Step 4: Simplify right side
    199,652x = 187,057,115,001
  5. Step 5: Solve for x
    x = 187,057,115,001/199,652
  6. Step 6: Final answer
    x = 936,915.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.