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Finding the Third Proportional to 496,968 and 662,125.50

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Solution

The third proportional to 496,968 and 662,125.50 is: 882,169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,968 : 662,125.50 = 662,125.50 : x
  2. Step 2: Convert to fraction form
    496,968/662,125.50 = 662,125.50/x
  3. Step 3: Cross multiply
    496,968x = 662,125.50 × 662,125.50
  4. Step 4: Simplify right side
    496,968x = 438,410,177,750.25
  5. Step 5: Solve for x
    x = 438,410,177,750.25/496,968
  6. Step 6: Final answer
    x = 882,169.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.