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Finding the Third Proportional to 207,272 and 446,254

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Solution

The third proportional to 207,272 and 446,254 is: 960,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,272 : 446,254 = 446,254 : x
  2. Step 2: Convert to fraction form
    207,272/446,254 = 446,254/x
  3. Step 3: Cross multiply
    207,272x = 446,254 × 446,254
  4. Step 4: Simplify right side
    207,272x = 199,142,632,516
  5. Step 5: Solve for x
    x = 199,142,632,516/207,272
  6. Step 6: Final answer
    x = 960,779.23

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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.