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Finding the Third Proportional to 275,330 and 565,483

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Solution

The third proportional to 275,330 and 565,483 is: 1,161,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,330 : 565,483 = 565,483 : x
  2. Step 2: Convert to fraction form
    275,330/565,483 = 565,483/x
  3. Step 3: Cross multiply
    275,330x = 565,483 × 565,483
  4. Step 4: Simplify right side
    275,330x = 319,771,023,289
  5. Step 5: Solve for x
    x = 319,771,023,289/275,330
  6. Step 6: Final answer
    x = 1,161,410.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.