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Finding the Third Proportional to 320,094 and 649,395

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Solution

The third proportional to 320,094 and 649,395 is: 1,317,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,094 : 649,395 = 649,395 : x
  2. Step 2: Convert to fraction form
    320,094/649,395 = 649,395/x
  3. Step 3: Cross multiply
    320,094x = 649,395 × 649,395
  4. Step 4: Simplify right side
    320,094x = 421,713,866,025
  5. Step 5: Solve for x
    x = 421,713,866,025/320,094
  6. Step 6: Final answer
    x = 1,317,468.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.