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Finding the Third Proportional to 299,318.06 and 464,718.38

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Solution

The third proportional to 299,318.06 and 464,718.38 is: 721,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,318.06 : 464,718.38 = 464,718.38 : x
  2. Step 2: Convert to fraction form
    299,318.06/464,718.38 = 464,718.38/x
  3. Step 3: Cross multiply
    299,318.06x = 464,718.38 × 464,718.38
  4. Step 4: Simplify right side
    299,318.06x = 215,963,168,062.64
  5. Step 5: Solve for x
    x = 215,963,168,062.64/299,318.06
  6. Step 6: Final answer
    x = 721,517.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.