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Finding the Third Proportional to 590,863.50 and 860,455.50

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Solution

The third proportional to 590,863.50 and 860,455.50 is: 1,253,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,863.50 : 860,455.50 = 860,455.50 : x
  2. Step 2: Convert to fraction form
    590,863.50/860,455.50 = 860,455.50/x
  3. Step 3: Cross multiply
    590,863.50x = 860,455.50 × 860,455.50
  4. Step 4: Simplify right side
    590,863.50x = 740,383,667,480.25
  5. Step 5: Solve for x
    x = 740,383,667,480.25/590,863.50
  6. Step 6: Final answer
    x = 1,253,053.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.