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Finding the Third Proportional to 230,379 and 360,616.88

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Solution

The third proportional to 230,379 and 360,616.88 is: 564,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,379 : 360,616.88 = 360,616.88 : x
  2. Step 2: Convert to fraction form
    230,379/360,616.88 = 360,616.88/x
  3. Step 3: Cross multiply
    230,379x = 360,616.88 × 360,616.88
  4. Step 4: Simplify right side
    230,379x = 130,044,530,534.77
  5. Step 5: Solve for x
    x = 130,044,530,534.77/230,379
  6. Step 6: Final answer
    x = 564,480.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.