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Finding the Third Proportional to 273,716 and 435,868

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Solution

The third proportional to 273,716 and 435,868 is: 694,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,716 : 435,868 = 435,868 : x
  2. Step 2: Convert to fraction form
    273,716/435,868 = 435,868/x
  3. Step 3: Cross multiply
    273,716x = 435,868 × 435,868
  4. Step 4: Simplify right side
    273,716x = 189,980,913,424
  5. Step 5: Solve for x
    x = 189,980,913,424/273,716
  6. Step 6: Final answer
    x = 694,080.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.