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Finding the Third Proportional to 444,646 and 665,748.75

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Solution

The third proportional to 444,646 and 665,748.75 is: 996,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,646 : 665,748.75 = 665,748.75 : x
  2. Step 2: Convert to fraction form
    444,646/665,748.75 = 665,748.75/x
  3. Step 3: Cross multiply
    444,646x = 665,748.75 × 665,748.75
  4. Step 4: Simplify right side
    444,646x = 443,221,398,126.56
  5. Step 5: Solve for x
    x = 443,221,398,126.56/444,646
  6. Step 6: Final answer
    x = 996,796.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.