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Finding the Third Proportional to 306,523.13 and 668,220.75

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Solution

The third proportional to 306,523.13 and 668,220.75 is: 1,456,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,523.13 : 668,220.75 = 668,220.75 : x
  2. Step 2: Convert to fraction form
    306,523.13/668,220.75 = 668,220.75/x
  3. Step 3: Cross multiply
    306,523.13x = 668,220.75 × 668,220.75
  4. Step 4: Simplify right side
    306,523.13x = 446,518,970,730.56
  5. Step 5: Solve for x
    x = 446,518,970,730.56/306,523.13
  6. Step 6: Final answer
    x = 1,456,721.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.