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Finding the Third Proportional to 424,224 and 613,494

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Solution

The third proportional to 424,224 and 613,494 is: 887,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,224 : 613,494 = 613,494 : x
  2. Step 2: Convert to fraction form
    424,224/613,494 = 613,494/x
  3. Step 3: Cross multiply
    424,224x = 613,494 × 613,494
  4. Step 4: Simplify right side
    424,224x = 376,374,888,036
  5. Step 5: Solve for x
    x = 376,374,888,036/424,224
  6. Step 6: Final answer
    x = 887,207.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.