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Finding the Third Proportional to 233,952.75 and 507,237.75

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Solution

The third proportional to 233,952.75 and 507,237.75 is: 1,099,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952.75 : 507,237.75 = 507,237.75 : x
  2. Step 2: Convert to fraction form
    233,952.75/507,237.75 = 507,237.75/x
  3. Step 3: Cross multiply
    233,952.75x = 507,237.75 × 507,237.75
  4. Step 4: Simplify right side
    233,952.75x = 257,290,135,025.06
  5. Step 5: Solve for x
    x = 257,290,135,025.06/233,952.75
  6. Step 6: Final answer
    x = 1,099,752.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.