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Finding the Third Proportional to 387,200.25 and 845,842.50

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Solution

The third proportional to 387,200.25 and 845,842.50 is: 1,847,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,200.25 : 845,842.50 = 845,842.50 : x
  2. Step 2: Convert to fraction form
    387,200.25/845,842.50 = 845,842.50/x
  3. Step 3: Cross multiply
    387,200.25x = 845,842.50 × 845,842.50
  4. Step 4: Simplify right side
    387,200.25x = 715,449,534,806.25
  5. Step 5: Solve for x
    x = 715,449,534,806.25/387,200.25
  6. Step 6: Final answer
    x = 1,847,750.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.