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Finding the Third Proportional to 445,500 and 643,670

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Solution

The third proportional to 445,500 and 643,670 is: 929,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,500 : 643,670 = 643,670 : x
  2. Step 2: Convert to fraction form
    445,500/643,670 = 643,670/x
  3. Step 3: Cross multiply
    445,500x = 643,670 × 643,670
  4. Step 4: Simplify right side
    445,500x = 414,311,068,900
  5. Step 5: Solve for x
    x = 414,311,068,900/445,500
  6. Step 6: Final answer
    x = 929,991.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.