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Finding the Third Proportional to 368,788.50 and 576,009

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Solution

The third proportional to 368,788.50 and 576,009 is: 899,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,788.50 : 576,009 = 576,009 : x
  2. Step 2: Convert to fraction form
    368,788.50/576,009 = 576,009/x
  3. Step 3: Cross multiply
    368,788.50x = 576,009 × 576,009
  4. Step 4: Simplify right side
    368,788.50x = 331,786,368,081
  5. Step 5: Solve for x
    x = 331,786,368,081/368,788.50
  6. Step 6: Final answer
    x = 899,665.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.