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Finding the Third Proportional to 333,451.13 and 701,749.13

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Solution

The third proportional to 333,451.13 and 701,749.13 is: 1,476,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,451.13 : 701,749.13 = 701,749.13 : x
  2. Step 2: Convert to fraction form
    333,451.13/701,749.13 = 701,749.13/x
  3. Step 3: Cross multiply
    333,451.13x = 701,749.13 × 701,749.13
  4. Step 4: Simplify right side
    333,451.13x = 492,451,834,438.27
  5. Step 5: Solve for x
    x = 492,451,834,438.27/333,451.13
  6. Step 6: Final answer
    x = 1,476,833.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.