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Finding the Third Proportional to 207,804 and 451,032

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Solution

The third proportional to 207,804 and 451,032 is: 978,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,804 : 451,032 = 451,032 : x
  2. Step 2: Convert to fraction form
    207,804/451,032 = 451,032/x
  3. Step 3: Cross multiply
    207,804x = 451,032 × 451,032
  4. Step 4: Simplify right side
    207,804x = 203,429,865,024
  5. Step 5: Solve for x
    x = 203,429,865,024/207,804
  6. Step 6: Final answer
    x = 978,950.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.