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Finding the Third Proportional to 239,683.50 and 524,463.75

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Solution

The third proportional to 239,683.50 and 524,463.75 is: 1,147,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,683.50 : 524,463.75 = 524,463.75 : x
  2. Step 2: Convert to fraction form
    239,683.50/524,463.75 = 524,463.75/x
  3. Step 3: Cross multiply
    239,683.50x = 524,463.75 × 524,463.75
  4. Step 4: Simplify right side
    239,683.50x = 275,062,225,064.06
  5. Step 5: Solve for x
    x = 275,062,225,064.06/239,683.50
  6. Step 6: Final answer
    x = 1,147,606.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.