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Finding the Third Proportional to 327,483 and 520,748.25

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Solution

The third proportional to 327,483 and 520,748.25 is: 828,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,483 : 520,748.25 = 520,748.25 : x
  2. Step 2: Convert to fraction form
    327,483/520,748.25 = 520,748.25/x
  3. Step 3: Cross multiply
    327,483x = 520,748.25 × 520,748.25
  4. Step 4: Simplify right side
    327,483x = 271,178,739,878.06
  5. Step 5: Solve for x
    x = 271,178,739,878.06/327,483
  6. Step 6: Final answer
    x = 828,069.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.