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Finding the Third Proportional to 533,491.50 and 818,000.25

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Solution

The third proportional to 533,491.50 and 818,000.25 is: 1,254,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,491.50 : 818,000.25 = 818,000.25 : x
  2. Step 2: Convert to fraction form
    533,491.50/818,000.25 = 818,000.25/x
  3. Step 3: Cross multiply
    533,491.50x = 818,000.25 × 818,000.25
  4. Step 4: Simplify right side
    533,491.50x = 669,124,409,000.06
  5. Step 5: Solve for x
    x = 669,124,409,000.06/533,491.50
  6. Step 6: Final answer
    x = 1,254,236.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.