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Finding the Third Proportional to 197,452.69 and 425,683.69

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Solution

The third proportional to 197,452.69 and 425,683.69 is: 917,721.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.69 : 425,683.69 = 425,683.69 : x
  2. Step 2: Convert to fraction form
    197,452.69/425,683.69 = 425,683.69/x
  3. Step 3: Cross multiply
    197,452.69x = 425,683.69 × 425,683.69
  4. Step 4: Simplify right side
    197,452.69x = 181,206,601,803.60
  5. Step 5: Solve for x
    x = 181,206,601,803.60/197,452.69
  6. Step 6: Final answer
    x = 917,721.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.