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Finding the Third Proportional to 273,669 and 597,775

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Solution

The third proportional to 273,669 and 597,775 is: 1,305,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,669 : 597,775 = 597,775 : x
  2. Step 2: Convert to fraction form
    273,669/597,775 = 597,775/x
  3. Step 3: Cross multiply
    273,669x = 597,775 × 597,775
  4. Step 4: Simplify right side
    273,669x = 357,334,950,625
  5. Step 5: Solve for x
    x = 357,334,950,625/273,669
  6. Step 6: Final answer
    x = 1,305,719.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.