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Finding the Third Proportional to 598,518 and 997,425

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Solution

The third proportional to 598,518 and 997,425 is: 1,662,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,518 : 997,425 = 997,425 : x
  2. Step 2: Convert to fraction form
    598,518/997,425 = 997,425/x
  3. Step 3: Cross multiply
    598,518x = 997,425 × 997,425
  4. Step 4: Simplify right side
    598,518x = 994,856,630,625
  5. Step 5: Solve for x
    x = 994,856,630,625/598,518
  6. Step 6: Final answer
    x = 1,662,200.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.