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Finding the Third Proportional to 273,928.50 and 597,682.13

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Solution

The third proportional to 273,928.50 and 597,682.13 is: 1,304,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,928.50 : 597,682.13 = 597,682.13 : x
  2. Step 2: Convert to fraction form
    273,928.50/597,682.13 = 597,682.13/x
  3. Step 3: Cross multiply
    273,928.50x = 597,682.13 × 597,682.13
  4. Step 4: Simplify right side
    273,928.50x = 357,223,922,544.52
  5. Step 5: Solve for x
    x = 357,223,922,544.52/273,928.50
  6. Step 6: Final answer
    x = 1,304,077.24

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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.