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Finding the Third Proportional to 587,400 and 848,034

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Solution

The third proportional to 587,400 and 848,034 is: 1,224,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,400 : 848,034 = 848,034 : x
  2. Step 2: Convert to fraction form
    587,400/848,034 = 848,034/x
  3. Step 3: Cross multiply
    587,400x = 848,034 × 848,034
  4. Step 4: Simplify right side
    587,400x = 719,161,665,156
  5. Step 5: Solve for x
    x = 719,161,665,156/587,400
  6. Step 6: Final answer
    x = 1,224,313.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.