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Finding the Third Proportional to 339,504 and 716,184

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Solution

The third proportional to 339,504 and 716,184 is: 1,510,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,504 : 716,184 = 716,184 : x
  2. Step 2: Convert to fraction form
    339,504/716,184 = 716,184/x
  3. Step 3: Cross multiply
    339,504x = 716,184 × 716,184
  4. Step 4: Simplify right side
    339,504x = 512,919,521,856
  5. Step 5: Solve for x
    x = 512,919,521,856/339,504
  6. Step 6: Final answer
    x = 1,510,790.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.