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Finding the Third Proportional to 291,270 and 393,523.50

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Solution

The third proportional to 291,270 and 393,523.50 is: 531,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,270 : 393,523.50 = 393,523.50 : x
  2. Step 2: Convert to fraction form
    291,270/393,523.50 = 393,523.50/x
  3. Step 3: Cross multiply
    291,270x = 393,523.50 × 393,523.50
  4. Step 4: Simplify right side
    291,270x = 154,860,745,052.25
  5. Step 5: Solve for x
    x = 154,860,745,052.25/291,270
  6. Step 6: Final answer
    x = 531,674.20

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.