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Finding the Third Proportional to 469,771.50 and 713,997

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Solution

The third proportional to 469,771.50 and 713,997 is: 1,085,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,771.50 : 713,997 = 713,997 : x
  2. Step 2: Convert to fraction form
    469,771.50/713,997 = 713,997/x
  3. Step 3: Cross multiply
    469,771.50x = 713,997 × 713,997
  4. Step 4: Simplify right side
    469,771.50x = 509,791,716,009
  5. Step 5: Solve for x
    x = 509,791,716,009/469,771.50
  6. Step 6: Final answer
    x = 1,085,190.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.