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Finding the Third Proportional to 262,302.75 and 393,456.38

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Solution

The third proportional to 262,302.75 and 393,456.38 is: 590,187.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,302.75 : 393,456.38 = 393,456.38 : x
  2. Step 2: Convert to fraction form
    262,302.75/393,456.38 = 393,456.38/x
  3. Step 3: Cross multiply
    262,302.75x = 393,456.38 × 393,456.38
  4. Step 4: Simplify right side
    262,302.75x = 154,807,919,028.14
  5. Step 5: Solve for x
    x = 154,807,919,028.14/262,302.75
  6. Step 6: Final answer
    x = 590,187.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.