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Finding the Third Proportional to 518,004 and 800,014

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Solution

The third proportional to 518,004 and 800,014 is: 1,235,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,004 : 800,014 = 800,014 : x
  2. Step 2: Convert to fraction form
    518,004/800,014 = 800,014/x
  3. Step 3: Cross multiply
    518,004x = 800,014 × 800,014
  4. Step 4: Simplify right side
    518,004x = 640,022,400,196
  5. Step 5: Solve for x
    x = 640,022,400,196/518,004
  6. Step 6: Final answer
    x = 1,235,554.94

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Why These Related Problems?

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