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Finding the Third Proportional to 364,380 and 800,497.50

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Solution

The third proportional to 364,380 and 800,497.50 is: 1,758,593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,380 : 800,497.50 = 800,497.50 : x
  2. Step 2: Convert to fraction form
    364,380/800,497.50 = 800,497.50/x
  3. Step 3: Cross multiply
    364,380x = 800,497.50 × 800,497.50
  4. Step 4: Simplify right side
    364,380x = 640,796,247,506.25
  5. Step 5: Solve for x
    x = 640,796,247,506.25/364,380
  6. Step 6: Final answer
    x = 1,758,593.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.