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Finding the Third Proportional to 342,002 and 741,964

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Solution

The third proportional to 342,002 and 741,964 is: 1,609,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002 : 741,964 = 741,964 : x
  2. Step 2: Convert to fraction form
    342,002/741,964 = 741,964/x
  3. Step 3: Cross multiply
    342,002x = 741,964 × 741,964
  4. Step 4: Simplify right side
    342,002x = 550,510,577,296
  5. Step 5: Solve for x
    x = 550,510,577,296/342,002
  6. Step 6: Final answer
    x = 1,609,670.64

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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.