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Finding the Third Proportional to 381,468 and 590,994

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Solution

The third proportional to 381,468 and 590,994 is: 915,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,468 : 590,994 = 590,994 : x
  2. Step 2: Convert to fraction form
    381,468/590,994 = 590,994/x
  3. Step 3: Cross multiply
    381,468x = 590,994 × 590,994
  4. Step 4: Simplify right side
    381,468x = 349,273,908,036
  5. Step 5: Solve for x
    x = 349,273,908,036/381,468
  6. Step 6: Final answer
    x = 915,604.74

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