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Finding the Third Proportional to 275,952 and 603,564

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Solution

The third proportional to 275,952 and 603,564 is: 1,320,119.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,952 : 603,564 = 603,564 : x
  2. Step 2: Convert to fraction form
    275,952/603,564 = 603,564/x
  3. Step 3: Cross multiply
    275,952x = 603,564 × 603,564
  4. Step 4: Simplify right side
    275,952x = 364,289,502,096
  5. Step 5: Solve for x
    x = 364,289,502,096/275,952
  6. Step 6: Final answer
    x = 1,320,119.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.