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Finding the Third Proportional to 259,077 and 610,707

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Solution

The third proportional to 259,077 and 610,707 is: 1,439,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,077 : 610,707 = 610,707 : x
  2. Step 2: Convert to fraction form
    259,077/610,707 = 610,707/x
  3. Step 3: Cross multiply
    259,077x = 610,707 × 610,707
  4. Step 4: Simplify right side
    259,077x = 372,963,039,849
  5. Step 5: Solve for x
    x = 372,963,039,849/259,077
  6. Step 6: Final answer
    x = 1,439,583.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.