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Finding the Third Proportional to 193,633 and 424,530

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Solution

The third proportional to 193,633 and 424,530 is: 930,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,633 : 424,530 = 424,530 : x
  2. Step 2: Convert to fraction form
    193,633/424,530 = 424,530/x
  3. Step 3: Cross multiply
    193,633x = 424,530 × 424,530
  4. Step 4: Simplify right side
    193,633x = 180,225,720,900
  5. Step 5: Solve for x
    x = 180,225,720,900/193,633
  6. Step 6: Final answer
    x = 930,759.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.