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Finding the Third Proportional to 207,932 and 437,590

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Solution

The third proportional to 207,932 and 437,590 is: 920,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,932 : 437,590 = 437,590 : x
  2. Step 2: Convert to fraction form
    207,932/437,590 = 437,590/x
  3. Step 3: Cross multiply
    207,932x = 437,590 × 437,590
  4. Step 4: Simplify right side
    207,932x = 191,485,008,100
  5. Step 5: Solve for x
    x = 191,485,008,100/207,932
  6. Step 6: Final answer
    x = 920,902.06

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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.