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Finding the Third Proportional to 430,256 and 934,096

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Solution

The third proportional to 430,256 and 934,096 is: 2,027,944.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,256 : 934,096 = 934,096 : x
  2. Step 2: Convert to fraction form
    430,256/934,096 = 934,096/x
  3. Step 3: Cross multiply
    430,256x = 934,096 × 934,096
  4. Step 4: Simplify right side
    430,256x = 872,535,337,216
  5. Step 5: Solve for x
    x = 872,535,337,216/430,256
  6. Step 6: Final answer
    x = 2,027,944.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.