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Finding the Third Proportional to 518,009 and 800,021.50

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Solution

The third proportional to 518,009 and 800,021.50 is: 1,235,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,009 : 800,021.50 = 800,021.50 : x
  2. Step 2: Convert to fraction form
    518,009/800,021.50 = 800,021.50/x
  3. Step 3: Cross multiply
    518,009x = 800,021.50 × 800,021.50
  4. Step 4: Simplify right side
    518,009x = 640,034,400,462.25
  5. Step 5: Solve for x
    x = 640,034,400,462.25/518,009
  6. Step 6: Final answer
    x = 1,235,566.18

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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.