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Finding the Third Proportional to 207,942 and 437,613

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Solution

The third proportional to 207,942 and 437,613 is: 920,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,942 : 437,613 = 437,613 : x
  2. Step 2: Convert to fraction form
    207,942/437,613 = 437,613/x
  3. Step 3: Cross multiply
    207,942x = 437,613 × 437,613
  4. Step 4: Simplify right side
    207,942x = 191,505,137,769
  5. Step 5: Solve for x
    x = 191,505,137,769/207,942
  6. Step 6: Final answer
    x = 920,954.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.