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Finding the Third Proportional to 518,005 and 800,015.50

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Solution

The third proportional to 518,005 and 800,015.50 is: 1,235,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,005 : 800,015.50 = 800,015.50 : x
  2. Step 2: Convert to fraction form
    518,005/800,015.50 = 800,015.50/x
  3. Step 3: Cross multiply
    518,005x = 800,015.50 × 800,015.50
  4. Step 4: Simplify right side
    518,005x = 640,024,800,240.25
  5. Step 5: Solve for x
    x = 640,024,800,240.25/518,005
  6. Step 6: Final answer
    x = 1,235,557.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.