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Finding the Third Proportional to 299,349 and 440,259.75

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Solution

The third proportional to 299,349 and 440,259.75 is: 647,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,349 : 440,259.75 = 440,259.75 : x
  2. Step 2: Convert to fraction form
    299,349/440,259.75 = 440,259.75/x
  3. Step 3: Cross multiply
    299,349x = 440,259.75 × 440,259.75
  4. Step 4: Simplify right side
    299,349x = 193,828,647,470.06
  5. Step 5: Solve for x
    x = 193,828,647,470.06/299,349
  6. Step 6: Final answer
    x = 647,500.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.