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Finding the Third Proportional to 273,477.75 and 596,298

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Solution

The third proportional to 273,477.75 and 596,298 is: 1,300,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,477.75 : 596,298 = 596,298 : x
  2. Step 2: Convert to fraction form
    273,477.75/596,298 = 596,298/x
  3. Step 3: Cross multiply
    273,477.75x = 596,298 × 596,298
  4. Step 4: Simplify right side
    273,477.75x = 355,571,304,804
  5. Step 5: Solve for x
    x = 355,571,304,804/273,477.75
  6. Step 6: Final answer
    x = 1,300,183.67

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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.