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Finding the Third Proportional to 284,069 and 624,180

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Solution

The third proportional to 284,069 and 624,180 is: 1,371,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,069 : 624,180 = 624,180 : x
  2. Step 2: Convert to fraction form
    284,069/624,180 = 624,180/x
  3. Step 3: Cross multiply
    284,069x = 624,180 × 624,180
  4. Step 4: Simplify right side
    284,069x = 389,600,672,400
  5. Step 5: Solve for x
    x = 389,600,672,400/284,069
  6. Step 6: Final answer
    x = 1,371,500.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.