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Finding the Third Proportional to 235,194 and 458,562

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Solution

The third proportional to 235,194 and 458,562 is: 894,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,194 : 458,562 = 458,562 : x
  2. Step 2: Convert to fraction form
    235,194/458,562 = 458,562/x
  3. Step 3: Cross multiply
    235,194x = 458,562 × 458,562
  4. Step 4: Simplify right side
    235,194x = 210,279,107,844
  5. Step 5: Solve for x
    x = 210,279,107,844/235,194
  6. Step 6: Final answer
    x = 894,066.63

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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.