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Finding the Third Proportional to 499,112.50 and 775,741

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Solution

The third proportional to 499,112.50 and 775,741 is: 1,205,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,112.50 : 775,741 = 775,741 : x
  2. Step 2: Convert to fraction form
    499,112.50/775,741 = 775,741/x
  3. Step 3: Cross multiply
    499,112.50x = 775,741 × 775,741
  4. Step 4: Simplify right side
    499,112.50x = 601,774,099,081
  5. Step 5: Solve for x
    x = 601,774,099,081/499,112.50
  6. Step 6: Final answer
    x = 1,205,688.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.