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Finding the Third Proportional to 207,237 and 443,877

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Solution

The third proportional to 207,237 and 443,877 is: 950,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,237 : 443,877 = 443,877 : x
  2. Step 2: Convert to fraction form
    207,237/443,877 = 443,877/x
  3. Step 3: Cross multiply
    207,237x = 443,877 × 443,877
  4. Step 4: Simplify right side
    207,237x = 197,026,791,129
  5. Step 5: Solve for x
    x = 197,026,791,129/207,237
  6. Step 6: Final answer
    x = 950,731.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.