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Finding the Third Proportional to 198,637.59 and 434,411.72

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Solution

The third proportional to 198,637.59 and 434,411.72 is: 950,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,637.59 : 434,411.72 = 434,411.72 : x
  2. Step 2: Convert to fraction form
    198,637.59/434,411.72 = 434,411.72/x
  3. Step 3: Cross multiply
    198,637.59x = 434,411.72 × 434,411.72
  4. Step 4: Simplify right side
    198,637.59x = 188,713,541,387.33
  5. Step 5: Solve for x
    x = 188,713,541,387.33/198,637.59
  6. Step 6: Final answer
    x = 950,039.41

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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.