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Finding the Third Proportional to 336,296 and 514,296

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Solution

The third proportional to 336,296 and 514,296 is: 786,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,296 : 514,296 = 514,296 : x
  2. Step 2: Convert to fraction form
    336,296/514,296 = 514,296/x
  3. Step 3: Cross multiply
    336,296x = 514,296 × 514,296
  4. Step 4: Simplify right side
    336,296x = 264,500,375,616
  5. Step 5: Solve for x
    x = 264,500,375,616/336,296
  6. Step 6: Final answer
    x = 786,510.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.