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Finding the Third Proportional to 369,984 and 769,125

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Solution

The third proportional to 369,984 and 769,125 is: 1,598,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,984 : 769,125 = 769,125 : x
  2. Step 2: Convert to fraction form
    369,984/769,125 = 769,125/x
  3. Step 3: Cross multiply
    369,984x = 769,125 × 769,125
  4. Step 4: Simplify right side
    369,984x = 591,553,265,625
  5. Step 5: Solve for x
    x = 591,553,265,625/369,984
  6. Step 6: Final answer
    x = 1,598,861.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.