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Finding the Third Proportional to 327,613 and 492,492

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Solution

The third proportional to 327,613 and 492,492 is: 740,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,613 : 492,492 = 492,492 : x
  2. Step 2: Convert to fraction form
    327,613/492,492 = 492,492/x
  3. Step 3: Cross multiply
    327,613x = 492,492 × 492,492
  4. Step 4: Simplify right side
    327,613x = 242,548,370,064
  5. Step 5: Solve for x
    x = 242,548,370,064/327,613
  6. Step 6: Final answer
    x = 740,350.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.