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Finding the Third Proportional to 500,024 and 794,325

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Solution

The third proportional to 500,024 and 794,325 is: 1,261,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,024 : 794,325 = 794,325 : x
  2. Step 2: Convert to fraction form
    500,024/794,325 = 794,325/x
  3. Step 3: Cross multiply
    500,024x = 794,325 × 794,325
  4. Step 4: Simplify right side
    500,024x = 630,952,205,625
  5. Step 5: Solve for x
    x = 630,952,205,625/500,024
  6. Step 6: Final answer
    x = 1,261,843.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.