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Finding the Third Proportional to 197,452.69 and 426,426.19

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Solution

The third proportional to 197,452.69 and 426,426.19 is: 920,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452.69 : 426,426.19 = 426,426.19 : x
  2. Step 2: Convert to fraction form
    197,452.69/426,426.19 = 426,426.19/x
  3. Step 3: Cross multiply
    197,452.69x = 426,426.19 × 426,426.19
  4. Step 4: Simplify right side
    197,452.69x = 181,839,293,385.79
  5. Step 5: Solve for x
    x = 181,839,293,385.79/197,452.69
  6. Step 6: Final answer
    x = 920,925.90

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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.