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Finding the Third Proportional to 273,574.34 and 437,043.09

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Solution

The third proportional to 273,574.34 and 437,043.09 is: 698,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,574.34 : 437,043.09 = 437,043.09 : x
  2. Step 2: Convert to fraction form
    273,574.34/437,043.09 = 437,043.09/x
  3. Step 3: Cross multiply
    273,574.34x = 437,043.09 × 437,043.09
  4. Step 4: Simplify right side
    273,574.34x = 191,006,665,794.57
  5. Step 5: Solve for x
    x = 191,006,665,794.57/273,574.34
  6. Step 6: Final answer
    x = 698,189.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.