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Finding the Third Proportional to 273,604.71 and 437,081.06

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Solution

The third proportional to 273,604.71 and 437,081.06 is: 698,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,604.71 : 437,081.06 = 437,081.06 : x
  2. Step 2: Convert to fraction form
    273,604.71/437,081.06 = 437,081.06/x
  3. Step 3: Cross multiply
    273,604.71x = 437,081.06 × 437,081.06
  4. Step 4: Simplify right side
    273,604.71x = 191,039,855,196.13
  5. Step 5: Solve for x
    x = 191,039,855,196.13/273,604.71
  6. Step 6: Final answer
    x = 698,233.06

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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.