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Finding the Third Proportional to 384,093 and 553,299.75

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Solution

The third proportional to 384,093 and 553,299.75 is: 797,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,093 : 553,299.75 = 553,299.75 : x
  2. Step 2: Convert to fraction form
    384,093/553,299.75 = 553,299.75/x
  3. Step 3: Cross multiply
    384,093x = 553,299.75 × 553,299.75
  4. Step 4: Simplify right side
    384,093x = 306,140,613,350.06
  5. Step 5: Solve for x
    x = 306,140,613,350.06/384,093
  6. Step 6: Final answer
    x = 797,048.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.