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Finding the Third Proportional to 274,039 and 597,751

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Solution

The third proportional to 274,039 and 597,751 is: 1,303,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,039 : 597,751 = 597,751 : x
  2. Step 2: Convert to fraction form
    274,039/597,751 = 597,751/x
  3. Step 3: Cross multiply
    274,039x = 597,751 × 597,751
  4. Step 4: Simplify right side
    274,039x = 357,306,258,001
  5. Step 5: Solve for x
    x = 357,306,258,001/274,039
  6. Step 6: Final answer
    x = 1,303,851.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.