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Finding the Third Proportional to 351,068 and 514,105

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Solution

The third proportional to 351,068 and 514,105 is: 752,856.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,068 : 514,105 = 514,105 : x
  2. Step 2: Convert to fraction form
    351,068/514,105 = 514,105/x
  3. Step 3: Cross multiply
    351,068x = 514,105 × 514,105
  4. Step 4: Simplify right side
    351,068x = 264,303,951,025
  5. Step 5: Solve for x
    x = 264,303,951,025/351,068
  6. Step 6: Final answer
    x = 752,856.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.