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Finding the Third Proportional to 368,785.50 and 576,006

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Solution

The third proportional to 368,785.50 and 576,006 is: 899,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,785.50 : 576,006 = 576,006 : x
  2. Step 2: Convert to fraction form
    368,785.50/576,006 = 576,006/x
  3. Step 3: Cross multiply
    368,785.50x = 576,006 × 576,006
  4. Step 4: Simplify right side
    368,785.50x = 331,782,912,036
  5. Step 5: Solve for x
    x = 331,782,912,036/368,785.50
  6. Step 6: Final answer
    x = 899,663.66

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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.