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Finding the Third Proportional to 505,674 and 1,086,387.50

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Solution

The third proportional to 505,674 and 1,086,387.50 is: 2,333,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,674 : 1,086,387.50 = 1,086,387.50 : x
  2. Step 2: Convert to fraction form
    505,674/1,086,387.50 = 1,086,387.50/x
  3. Step 3: Cross multiply
    505,674x = 1,086,387.50 × 1,086,387.50
  4. Step 4: Simplify right side
    505,674x = 1,180,237,800,156.25
  5. Step 5: Solve for x
    x = 1,180,237,800,156.25/505,674
  6. Step 6: Final answer
    x = 2,333,989.49

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