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Finding the Third Proportional to 274,617 and 594,907.50

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Solution

The third proportional to 274,617 and 594,907.50 is: 1,288,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,617 : 594,907.50 = 594,907.50 : x
  2. Step 2: Convert to fraction form
    274,617/594,907.50 = 594,907.50/x
  3. Step 3: Cross multiply
    274,617x = 594,907.50 × 594,907.50
  4. Step 4: Simplify right side
    274,617x = 353,914,933,556.25
  5. Step 5: Solve for x
    x = 353,914,933,556.25/274,617
  6. Step 6: Final answer
    x = 1,288,758.28

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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.