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Finding the Third Proportional to 197,493 and 424,957.50

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Solution

The third proportional to 197,493 and 424,957.50 is: 914,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,493 : 424,957.50 = 424,957.50 : x
  2. Step 2: Convert to fraction form
    197,493/424,957.50 = 424,957.50/x
  3. Step 3: Cross multiply
    197,493x = 424,957.50 × 424,957.50
  4. Step 4: Simplify right side
    197,493x = 180,588,876,806.25
  5. Step 5: Solve for x
    x = 180,588,876,806.25/197,493
  6. Step 6: Final answer
    x = 914,406.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.