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Finding the Third Proportional to 284,312 and 603,616

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Solution

The third proportional to 284,312 and 603,616 is: 1,281,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,312 : 603,616 = 603,616 : x
  2. Step 2: Convert to fraction form
    284,312/603,616 = 603,616/x
  3. Step 3: Cross multiply
    284,312x = 603,616 × 603,616
  4. Step 4: Simplify right side
    284,312x = 364,352,275,456
  5. Step 5: Solve for x
    x = 364,352,275,456/284,312
  6. Step 6: Final answer
    x = 1,281,522.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.