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Finding the Third Proportional to 314,445.38 and 444,512.81

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Solution

The third proportional to 314,445.38 and 444,512.81 is: 628,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,445.38 : 444,512.81 = 444,512.81 : x
  2. Step 2: Convert to fraction form
    314,445.38/444,512.81 = 444,512.81/x
  3. Step 3: Cross multiply
    314,445.38x = 444,512.81 × 444,512.81
  4. Step 4: Simplify right side
    314,445.38x = 197,591,640,476.66
  5. Step 5: Solve for x
    x = 197,591,640,476.66/314,445.38
  6. Step 6: Final answer
    x = 628,381.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.