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Finding the Third Proportional to 234,933 and 458,040

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Solution

The third proportional to 234,933 and 458,040 is: 893,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,933 : 458,040 = 458,040 : x
  2. Step 2: Convert to fraction form
    234,933/458,040 = 458,040/x
  3. Step 3: Cross multiply
    234,933x = 458,040 × 458,040
  4. Step 4: Simplify right side
    234,933x = 209,800,641,600
  5. Step 5: Solve for x
    x = 209,800,641,600/234,933
  6. Step 6: Final answer
    x = 893,023.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.