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Finding the Third Proportional to 207,872 and 455,232

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Solution

The third proportional to 207,872 and 455,232 is: 996,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,872 : 455,232 = 455,232 : x
  2. Step 2: Convert to fraction form
    207,872/455,232 = 455,232/x
  3. Step 3: Cross multiply
    207,872x = 455,232 × 455,232
  4. Step 4: Simplify right side
    207,872x = 207,236,173,824
  5. Step 5: Solve for x
    x = 207,236,173,824/207,872
  6. Step 6: Final answer
    x = 996,941.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.