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Finding the Third Proportional to 273,904.50 and 588,106.50

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Solution

The third proportional to 273,904.50 and 588,106.50 is: 1,262,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,904.50 : 588,106.50 = 588,106.50 : x
  2. Step 2: Convert to fraction form
    273,904.50/588,106.50 = 588,106.50/x
  3. Step 3: Cross multiply
    273,904.50x = 588,106.50 × 588,106.50
  4. Step 4: Simplify right side
    273,904.50x = 345,869,255,342.25
  5. Step 5: Solve for x
    x = 345,869,255,342.25/273,904.50
  6. Step 6: Final answer
    x = 1,262,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.