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Finding the Third Proportional to 193,458 and 434,532

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Solution

The third proportional to 193,458 and 434,532 is: 976,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,458 : 434,532 = 434,532 : x
  2. Step 2: Convert to fraction form
    193,458/434,532 = 434,532/x
  3. Step 3: Cross multiply
    193,458x = 434,532 × 434,532
  4. Step 4: Simplify right side
    193,458x = 188,818,059,024
  5. Step 5: Solve for x
    x = 188,818,059,024/193,458
  6. Step 6: Final answer
    x = 976,015.77

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.