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Finding the Third Proportional to 565,059 and 1,333,625

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Solution

The third proportional to 565,059 and 1,333,625 is: 3,147,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,059 : 1,333,625 = 1,333,625 : x
  2. Step 2: Convert to fraction form
    565,059/1,333,625 = 1,333,625/x
  3. Step 3: Cross multiply
    565,059x = 1,333,625 × 1,333,625
  4. Step 4: Simplify right side
    565,059x = 1,778,555,640,625
  5. Step 5: Solve for x
    x = 1,778,555,640,625/565,059
  6. Step 6: Final answer
    x = 3,147,557.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.