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Finding the Third Proportional to 260,387,327.25 and 557,015,188.50

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Solution

The third proportional to 260,387,327.25 and 557,015,188.50 is: 1,191,555,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,387,327.25 : 557,015,188.50 = 557,015,188.50 : x
  2. Step 2: Convert to fraction form
    260,387,327.25/557,015,188.50 = 557,015,188.50/x
  3. Step 3: Cross multiply
    260,387,327.25x = 557,015,188.50 × 557,015,188.50
  4. Step 4: Simplify right side
    260,387,327.25x = 310,265,920,219,690,560
  5. Step 5: Solve for x
    x = 310,265,920,219,690,560/260,387,327.25
  6. Step 6: Final answer
    x = 1,191,555,378.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.