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Finding the Third Proportional to 483,823.13 and 676,707.75

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Solution

The third proportional to 483,823.13 and 676,707.75 is: 946,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,823.13 : 676,707.75 = 676,707.75 : x
  2. Step 2: Convert to fraction form
    483,823.13/676,707.75 = 676,707.75/x
  3. Step 3: Cross multiply
    483,823.13x = 676,707.75 × 676,707.75
  4. Step 4: Simplify right side
    483,823.13x = 457,933,378,910.06
  5. Step 5: Solve for x
    x = 457,933,378,910.06/483,823.13
  6. Step 6: Final answer
    x = 946,489.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.