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Finding the Third Proportional to 336,296 and 514,295

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Solution

The third proportional to 336,296 and 514,295 is: 786,507.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,296 : 514,295 = 514,295 : x
  2. Step 2: Convert to fraction form
    336,296/514,295 = 514,295/x
  3. Step 3: Cross multiply
    336,296x = 514,295 × 514,295
  4. Step 4: Simplify right side
    336,296x = 264,499,347,025
  5. Step 5: Solve for x
    x = 264,499,347,025/336,296
  6. Step 6: Final answer
    x = 786,507.56

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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.