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Finding the Third Proportional to 365,622.75 and 565,029

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Solution

The third proportional to 365,622.75 and 565,029 is: 873,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,622.75 : 565,029 = 565,029 : x
  2. Step 2: Convert to fraction form
    365,622.75/565,029 = 565,029/x
  3. Step 3: Cross multiply
    365,622.75x = 565,029 × 565,029
  4. Step 4: Simplify right side
    365,622.75x = 319,257,770,841
  5. Step 5: Solve for x
    x = 319,257,770,841/365,622.75
  6. Step 6: Final answer
    x = 873,189.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.