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Finding the Third Proportional to 379,023.19 and 572,473.69

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Solution

The third proportional to 379,023.19 and 572,473.69 is: 864,659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,023.19 : 572,473.69 = 572,473.69 : x
  2. Step 2: Convert to fraction form
    379,023.19/572,473.69 = 572,473.69/x
  3. Step 3: Cross multiply
    379,023.19x = 572,473.69 × 572,473.69
  4. Step 4: Simplify right side
    379,023.19x = 327,726,122,879.85
  5. Step 5: Solve for x
    x = 327,726,122,879.85/379,023.19
  6. Step 6: Final answer
    x = 864,659.82

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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.