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Finding the Third Proportional to 393,727.50 and 607,980

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Solution

The third proportional to 393,727.50 and 607,980 is: 938,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,727.50 : 607,980 = 607,980 : x
  2. Step 2: Convert to fraction form
    393,727.50/607,980 = 607,980/x
  3. Step 3: Cross multiply
    393,727.50x = 607,980 × 607,980
  4. Step 4: Simplify right side
    393,727.50x = 369,639,680,400
  5. Step 5: Solve for x
    x = 369,639,680,400/393,727.50
  6. Step 6: Final answer
    x = 938,821.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.