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Finding the Third Proportional to 387,234 and 833,793.75

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Solution

The third proportional to 387,234 and 833,793.75 is: 1,795,327.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,234 : 833,793.75 = 833,793.75 : x
  2. Step 2: Convert to fraction form
    387,234/833,793.75 = 833,793.75/x
  3. Step 3: Cross multiply
    387,234x = 833,793.75 × 833,793.75
  4. Step 4: Simplify right side
    387,234x = 695,212,017,539.06
  5. Step 5: Solve for x
    x = 695,212,017,539.06/387,234
  6. Step 6: Final answer
    x = 1,795,327.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.