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Finding the Third Proportional to 274,656 and 590,400

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Solution

The third proportional to 274,656 and 590,400 is: 1,269,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656 : 590,400 = 590,400 : x
  2. Step 2: Convert to fraction form
    274,656/590,400 = 590,400/x
  3. Step 3: Cross multiply
    274,656x = 590,400 × 590,400
  4. Step 4: Simplify right side
    274,656x = 348,572,160,000
  5. Step 5: Solve for x
    x = 348,572,160,000/274,656
  6. Step 6: Final answer
    x = 1,269,122.68

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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.