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Finding the Third Proportional to 381,665.67 and 590,433.05

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Solution

The third proportional to 381,665.67 and 590,433.05 is: 913,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,665.67 : 590,433.05 = 590,433.05 : x
  2. Step 2: Convert to fraction form
    381,665.67/590,433.05 = 590,433.05/x
  3. Step 3: Cross multiply
    381,665.67x = 590,433.05 × 590,433.05
  4. Step 4: Simplify right side
    381,665.67x = 348,611,182,842.10
  5. Step 5: Solve for x
    x = 348,611,182,842.10/381,665.67
  6. Step 6: Final answer
    x = 913,394.13

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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.