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Finding the Third Proportional to 275,279 and 603,046

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Solution

The third proportional to 275,279 and 603,046 is: 1,321,075.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,279 : 603,046 = 603,046 : x
  2. Step 2: Convert to fraction form
    275,279/603,046 = 603,046/x
  3. Step 3: Cross multiply
    275,279x = 603,046 × 603,046
  4. Step 4: Simplify right side
    275,279x = 363,664,478,116
  5. Step 5: Solve for x
    x = 363,664,478,116/275,279
  6. Step 6: Final answer
    x = 1,321,075.99

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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.