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Finding the Third Proportional to 300,069 and 424,583

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Solution

The third proportional to 300,069 and 424,583 is: 600,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,069 : 424,583 = 424,583 : x
  2. Step 2: Convert to fraction form
    300,069/424,583 = 424,583/x
  3. Step 3: Cross multiply
    300,069x = 424,583 × 424,583
  4. Step 4: Simplify right side
    300,069x = 180,270,723,889
  5. Step 5: Solve for x
    x = 180,270,723,889/300,069
  6. Step 6: Final answer
    x = 600,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.