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Finding the Third Proportional to 518,410 and 800,583

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Solution

The third proportional to 518,410 and 800,583 is: 1,236,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,410 : 800,583 = 800,583 : x
  2. Step 2: Convert to fraction form
    518,410/800,583 = 800,583/x
  3. Step 3: Cross multiply
    518,410x = 800,583 × 800,583
  4. Step 4: Simplify right side
    518,410x = 640,933,139,889
  5. Step 5: Solve for x
    x = 640,933,139,889/518,410
  6. Step 6: Final answer
    x = 1,236,344.09

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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.