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Finding the Third Proportional to 764,419.50 and 1,146,501

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Solution

The third proportional to 764,419.50 and 1,146,501 is: 1,719,559.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,419.50 : 1,146,501 = 1,146,501 : x
  2. Step 2: Convert to fraction form
    764,419.50/1,146,501 = 1,146,501/x
  3. Step 3: Cross multiply
    764,419.50x = 1,146,501 × 1,146,501
  4. Step 4: Simplify right side
    764,419.50x = 1,314,464,543,001
  5. Step 5: Solve for x
    x = 1,314,464,543,001/764,419.50
  6. Step 6: Final answer
    x = 1,719,559.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.