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Finding the Third Proportional to 433,084.50 and 666,535.50

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Solution

The third proportional to 433,084.50 and 666,535.50 is: 1,025,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,084.50 : 666,535.50 = 666,535.50 : x
  2. Step 2: Convert to fraction form
    433,084.50/666,535.50 = 666,535.50/x
  3. Step 3: Cross multiply
    433,084.50x = 666,535.50 × 666,535.50
  4. Step 4: Simplify right side
    433,084.50x = 444,269,572,760.25
  5. Step 5: Solve for x
    x = 444,269,572,760.25/433,084.50
  6. Step 6: Final answer
    x = 1,025,826.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.