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Finding the Third Proportional to 275,655 and 562,974

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Solution

The third proportional to 275,655 and 562,974 is: 1,149,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,655 : 562,974 = 562,974 : x
  2. Step 2: Convert to fraction form
    275,655/562,974 = 562,974/x
  3. Step 3: Cross multiply
    275,655x = 562,974 × 562,974
  4. Step 4: Simplify right side
    275,655x = 316,939,724,676
  5. Step 5: Solve for x
    x = 316,939,724,676/275,655
  6. Step 6: Final answer
    x = 1,149,769.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.