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Finding the Third Proportional to 501,969.38 and 764,716.50

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Solution

The third proportional to 501,969.38 and 764,716.50 is: 1,164,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,969.38 : 764,716.50 = 764,716.50 : x
  2. Step 2: Convert to fraction form
    501,969.38/764,716.50 = 764,716.50/x
  3. Step 3: Cross multiply
    501,969.38x = 764,716.50 × 764,716.50
  4. Step 4: Simplify right side
    501,969.38x = 584,791,325,372.25
  5. Step 5: Solve for x
    x = 584,791,325,372.25/501,969.38
  6. Step 6: Final answer
    x = 1,164,994.03

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Why These Related Problems?

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