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Finding the Third Proportional to 207,837 and 446,755

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Solution

The third proportional to 207,837 and 446,755 is: 960,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,837 : 446,755 = 446,755 : x
  2. Step 2: Convert to fraction form
    207,837/446,755 = 446,755/x
  3. Step 3: Cross multiply
    207,837x = 446,755 × 446,755
  4. Step 4: Simplify right side
    207,837x = 199,590,030,025
  5. Step 5: Solve for x
    x = 199,590,030,025/207,837
  6. Step 6: Final answer
    x = 960,320.01

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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.