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Finding the Third Proportional to 381,535.31 and 590,505.19

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Solution

The third proportional to 381,535.31 and 590,505.19 is: 913,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,535.31 : 590,505.19 = 590,505.19 : x
  2. Step 2: Convert to fraction form
    381,535.31/590,505.19 = 590,505.19/x
  3. Step 3: Cross multiply
    381,535.31x = 590,505.19 × 590,505.19
  4. Step 4: Simplify right side
    381,535.31x = 348,696,376,464.41
  5. Step 5: Solve for x
    x = 348,696,376,464.41/381,535.31
  6. Step 6: Final answer
    x = 913,929.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.