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Finding the Third Proportional to 284,611 and 609,575

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Solution

The third proportional to 284,611 and 609,575 is: 1,305,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,611 : 609,575 = 609,575 : x
  2. Step 2: Convert to fraction form
    284,611/609,575 = 609,575/x
  3. Step 3: Cross multiply
    284,611x = 609,575 × 609,575
  4. Step 4: Simplify right side
    284,611x = 371,581,680,625
  5. Step 5: Solve for x
    x = 371,581,680,625/284,611
  6. Step 6: Final answer
    x = 1,305,577.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.