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Finding the Third Proportional to 207,010 and 445,731

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Solution

The third proportional to 207,010 and 445,731 is: 959,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,010 : 445,731 = 445,731 : x
  2. Step 2: Convert to fraction form
    207,010/445,731 = 445,731/x
  3. Step 3: Cross multiply
    207,010x = 445,731 × 445,731
  4. Step 4: Simplify right side
    207,010x = 198,676,124,361
  5. Step 5: Solve for x
    x = 198,676,124,361/207,010
  6. Step 6: Final answer
    x = 959,741.68

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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.