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Finding the Third Proportional to 273,324 and 599,298

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Solution

The third proportional to 273,324 and 599,298 is: 1,314,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,324 : 599,298 = 599,298 : x
  2. Step 2: Convert to fraction form
    273,324/599,298 = 599,298/x
  3. Step 3: Cross multiply
    273,324x = 599,298 × 599,298
  4. Step 4: Simplify right side
    273,324x = 359,158,092,804
  5. Step 5: Solve for x
    x = 359,158,092,804/273,324
  6. Step 6: Final answer
    x = 1,314,037.89

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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.