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Finding the Third Proportional to 284,534 and 611,242

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Solution

The third proportional to 284,534 and 611,242 is: 1,313,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,534 : 611,242 = 611,242 : x
  2. Step 2: Convert to fraction form
    284,534/611,242 = 611,242/x
  3. Step 3: Cross multiply
    284,534x = 611,242 × 611,242
  4. Step 4: Simplify right side
    284,534x = 373,616,782,564
  5. Step 5: Solve for x
    x = 373,616,782,564/284,534
  6. Step 6: Final answer
    x = 1,313,083.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.