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Finding the Third Proportional to 234,037 and 513,838

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Solution

The third proportional to 234,037 and 513,838 is: 1,128,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,037 : 513,838 = 513,838 : x
  2. Step 2: Convert to fraction form
    234,037/513,838 = 513,838/x
  3. Step 3: Cross multiply
    234,037x = 513,838 × 513,838
  4. Step 4: Simplify right side
    234,037x = 264,029,490,244
  5. Step 5: Solve for x
    x = 264,029,490,244/234,037
  6. Step 6: Final answer
    x = 1,128,152.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.