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Finding the Third Proportional to 339,184 and 536,964

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Solution

The third proportional to 339,184 and 536,964 is: 850,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,184 : 536,964 = 536,964 : x
  2. Step 2: Convert to fraction form
    339,184/536,964 = 536,964/x
  3. Step 3: Cross multiply
    339,184x = 536,964 × 536,964
  4. Step 4: Simplify right side
    339,184x = 288,330,337,296
  5. Step 5: Solve for x
    x = 288,330,337,296/339,184
  6. Step 6: Final answer
    x = 850,070.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.