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Finding the Third Proportional to 207,942 and 437,614

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Solution

The third proportional to 207,942 and 437,614 is: 920,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,942 : 437,614 = 437,614 : x
  2. Step 2: Convert to fraction form
    207,942/437,614 = 437,614/x
  3. Step 3: Cross multiply
    207,942x = 437,614 × 437,614
  4. Step 4: Simplify right side
    207,942x = 191,506,012,996
  5. Step 5: Solve for x
    x = 191,506,012,996/207,942
  6. Step 6: Final answer
    x = 920,958.79

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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.