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Finding the Third Proportional to 284,612 and 600,570

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Solution

The third proportional to 284,612 and 600,570 is: 1,267,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,612 : 600,570 = 600,570 : x
  2. Step 2: Convert to fraction form
    284,612/600,570 = 600,570/x
  3. Step 3: Cross multiply
    284,612x = 600,570 × 600,570
  4. Step 4: Simplify right side
    284,612x = 360,684,324,900
  5. Step 5: Solve for x
    x = 360,684,324,900/284,612
  6. Step 6: Final answer
    x = 1,267,284.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.