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Finding the Third Proportional to 289,925 and 588,002

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Solution

The third proportional to 289,925 and 588,002 is: 1,192,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,925 : 588,002 = 588,002 : x
  2. Step 2: Convert to fraction form
    289,925/588,002 = 588,002/x
  3. Step 3: Cross multiply
    289,925x = 588,002 × 588,002
  4. Step 4: Simplify right side
    289,925x = 345,746,352,004
  5. Step 5: Solve for x
    x = 345,746,352,004/289,925
  6. Step 6: Final answer
    x = 1,192,537.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.