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Finding the Third Proportional to 284,598 and 604,242

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Solution

The third proportional to 284,598 and 604,242 is: 1,282,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,598 : 604,242 = 604,242 : x
  2. Step 2: Convert to fraction form
    284,598/604,242 = 604,242/x
  3. Step 3: Cross multiply
    284,598x = 604,242 × 604,242
  4. Step 4: Simplify right side
    284,598x = 365,108,394,564
  5. Step 5: Solve for x
    x = 365,108,394,564/284,598
  6. Step 6: Final answer
    x = 1,282,891.64

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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.