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Finding the Third Proportional to 603,434.50 and 894,709.50

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Solution

The third proportional to 603,434.50 and 894,709.50 is: 1,326,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,434.50 : 894,709.50 = 894,709.50 : x
  2. Step 2: Convert to fraction form
    603,434.50/894,709.50 = 894,709.50/x
  3. Step 3: Cross multiply
    603,434.50x = 894,709.50 × 894,709.50
  4. Step 4: Simplify right side
    603,434.50x = 800,505,089,390.25
  5. Step 5: Solve for x
    x = 800,505,089,390.25/603,434.50
  6. Step 6: Final answer
    x = 1,326,581.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.