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Finding the Third Proportional to 207,550 and 432,801

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Solution

The third proportional to 207,550 and 432,801 is: 902,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,550 : 432,801 = 432,801 : x
  2. Step 2: Convert to fraction form
    207,550/432,801 = 432,801/x
  3. Step 3: Cross multiply
    207,550x = 432,801 × 432,801
  4. Step 4: Simplify right side
    207,550x = 187,316,705,601
  5. Step 5: Solve for x
    x = 187,316,705,601/207,550
  6. Step 6: Final answer
    x = 902,513.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.