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Finding the Third Proportional to 197,507.25 and 432,618.75

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Solution

The third proportional to 197,507.25 and 432,618.75 is: 947,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,507.25 : 432,618.75 = 432,618.75 : x
  2. Step 2: Convert to fraction form
    197,507.25/432,618.75 = 432,618.75/x
  3. Step 3: Cross multiply
    197,507.25x = 432,618.75 × 432,618.75
  4. Step 4: Simplify right side
    197,507.25x = 187,158,982,851.56
  5. Step 5: Solve for x
    x = 187,158,982,851.56/197,507.25
  6. Step 6: Final answer
    x = 947,605.63

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