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Finding the Third Proportional to 496,939 and 662,083.50

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Solution

The third proportional to 496,939 and 662,083.50 is: 882,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,939 : 662,083.50 = 662,083.50 : x
  2. Step 2: Convert to fraction form
    496,939/662,083.50 = 662,083.50/x
  3. Step 3: Cross multiply
    496,939x = 662,083.50 × 662,083.50
  4. Step 4: Simplify right side
    496,939x = 438,354,560,972.25
  5. Step 5: Solve for x
    x = 438,354,560,972.25/496,939
  6. Step 6: Final answer
    x = 882,109.40

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