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Finding the Third Proportional to 493,392 and 738,144

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Solution

The third proportional to 493,392 and 738,144 is: 1,104,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,392 : 738,144 = 738,144 : x
  2. Step 2: Convert to fraction form
    493,392/738,144 = 738,144/x
  3. Step 3: Cross multiply
    493,392x = 738,144 × 738,144
  4. Step 4: Simplify right side
    493,392x = 544,856,564,736
  5. Step 5: Solve for x
    x = 544,856,564,736/493,392
  6. Step 6: Final answer
    x = 1,104,307.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.