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Finding the Third Proportional to 274,556 and 601,600

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Solution

The third proportional to 274,556 and 601,600 is: 1,318,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,556 : 601,600 = 601,600 : x
  2. Step 2: Convert to fraction form
    274,556/601,600 = 601,600/x
  3. Step 3: Cross multiply
    274,556x = 601,600 × 601,600
  4. Step 4: Simplify right side
    274,556x = 361,922,560,000
  5. Step 5: Solve for x
    x = 361,922,560,000/274,556
  6. Step 6: Final answer
    x = 1,318,210.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.