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Finding the Third Proportional to 235,541.25 and 523,327.50

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Solution

The third proportional to 235,541.25 and 523,327.50 is: 1,162,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,541.25 : 523,327.50 = 523,327.50 : x
  2. Step 2: Convert to fraction form
    235,541.25/523,327.50 = 523,327.50/x
  3. Step 3: Cross multiply
    235,541.25x = 523,327.50 × 523,327.50
  4. Step 4: Simplify right side
    235,541.25x = 273,871,672,256.25
  5. Step 5: Solve for x
    x = 273,871,672,256.25/235,541.25
  6. Step 6: Final answer
    x = 1,162,733.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.