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Finding the Third Proportional to 299,430 and 440,394.75

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Solution

The third proportional to 299,430 and 440,394.75 is: 647,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,430 : 440,394.75 = 440,394.75 : x
  2. Step 2: Convert to fraction form
    299,430/440,394.75 = 440,394.75/x
  3. Step 3: Cross multiply
    299,430x = 440,394.75 × 440,394.75
  4. Step 4: Simplify right side
    299,430x = 193,947,535,827.56
  5. Step 5: Solve for x
    x = 193,947,535,827.56/299,430
  6. Step 6: Final answer
    x = 647,722.46

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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.