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Finding the Third Proportional to 590,854.50 and 860,442.75

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Solution

The third proportional to 590,854.50 and 860,442.75 is: 1,253,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,854.50 : 860,442.75 = 860,442.75 : x
  2. Step 2: Convert to fraction form
    590,854.50/860,442.75 = 860,442.75/x
  3. Step 3: Cross multiply
    590,854.50x = 860,442.75 × 860,442.75
  4. Step 4: Simplify right side
    590,854.50x = 740,361,726,027.56
  5. Step 5: Solve for x
    x = 740,361,726,027.56/590,854.50
  6. Step 6: Final answer
    x = 1,253,035.61

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