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Finding the Third Proportional to 535,579.50 and 734,404.50

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Solution

The third proportional to 535,579.50 and 734,404.50 is: 1,007,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,579.50 : 734,404.50 = 734,404.50 : x
  2. Step 2: Convert to fraction form
    535,579.50/734,404.50 = 734,404.50/x
  3. Step 3: Cross multiply
    535,579.50x = 734,404.50 × 734,404.50
  4. Step 4: Simplify right side
    535,579.50x = 539,349,969,620.25
  5. Step 5: Solve for x
    x = 539,349,969,620.25/535,579.50
  6. Step 6: Final answer
    x = 1,007,039.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.