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Finding the Third Proportional to 327,358 and 492,254

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Solution

The third proportional to 327,358 and 492,254 is: 740,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,358 : 492,254 = 492,254 : x
  2. Step 2: Convert to fraction form
    327,358/492,254 = 492,254/x
  3. Step 3: Cross multiply
    327,358x = 492,254 × 492,254
  4. Step 4: Simplify right side
    327,358x = 242,314,000,516
  5. Step 5: Solve for x
    x = 242,314,000,516/327,358
  6. Step 6: Final answer
    x = 740,211.02

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Why These Related Problems?

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