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Finding the Third Proportional to 274,500 and 594,820

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Solution

The third proportional to 274,500 and 594,820 is: 1,288,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,500 : 594,820 = 594,820 : x
  2. Step 2: Convert to fraction form
    274,500/594,820 = 594,820/x
  3. Step 3: Cross multiply
    274,500x = 594,820 × 594,820
  4. Step 4: Simplify right side
    274,500x = 353,810,832,400
  5. Step 5: Solve for x
    x = 353,810,832,400/274,500
  6. Step 6: Final answer
    x = 1,288,928.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.