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Finding the Third Proportional to 394,948.13 and 595,900.13

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Solution

The third proportional to 394,948.13 and 595,900.13 is: 899,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,948.13 : 595,900.13 = 595,900.13 : x
  2. Step 2: Convert to fraction form
    394,948.13/595,900.13 = 595,900.13/x
  3. Step 3: Cross multiply
    394,948.13x = 595,900.13 × 595,900.13
  4. Step 4: Simplify right side
    394,948.13x = 355,096,958,975.02
  5. Step 5: Solve for x
    x = 355,096,958,975.02/394,948.13
  6. Step 6: Final answer
    x = 899,097.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.