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Finding the Third Proportional to 339,366 and 731,184

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Solution

The third proportional to 339,366 and 731,184 is: 1,575,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,366 : 731,184 = 731,184 : x
  2. Step 2: Convert to fraction form
    339,366/731,184 = 731,184/x
  3. Step 3: Cross multiply
    339,366x = 731,184 × 731,184
  4. Step 4: Simplify right side
    339,366x = 534,630,041,856
  5. Step 5: Solve for x
    x = 534,630,041,856/339,366
  6. Step 6: Final answer
    x = 1,575,378.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.