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Finding the Third Proportional to 258,442.50 and 593,194.50

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Solution

The third proportional to 258,442.50 and 593,194.50 is: 1,361,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,442.50 : 593,194.50 = 593,194.50 : x
  2. Step 2: Convert to fraction form
    258,442.50/593,194.50 = 593,194.50/x
  3. Step 3: Cross multiply
    258,442.50x = 593,194.50 × 593,194.50
  4. Step 4: Simplify right side
    258,442.50x = 351,879,714,830.25
  5. Step 5: Solve for x
    x = 351,879,714,830.25/258,442.50
  6. Step 6: Final answer
    x = 1,361,539.66

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.