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Finding the Third Proportional to 365,127.75 and 561,573

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Solution

The third proportional to 365,127.75 and 561,573 is: 863,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,127.75 : 561,573 = 561,573 : x
  2. Step 2: Convert to fraction form
    365,127.75/561,573 = 561,573/x
  3. Step 3: Cross multiply
    365,127.75x = 561,573 × 561,573
  4. Step 4: Simplify right side
    365,127.75x = 315,364,234,329
  5. Step 5: Solve for x
    x = 315,364,234,329/365,127.75
  6. Step 6: Final answer
    x = 863,709.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.