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Finding the Third Proportional to 544,041 and 764,770.50

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Solution

The third proportional to 544,041 and 764,770.50 is: 1,075,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,041 : 764,770.50 = 764,770.50 : x
  2. Step 2: Convert to fraction form
    544,041/764,770.50 = 764,770.50/x
  3. Step 3: Cross multiply
    544,041x = 764,770.50 × 764,770.50
  4. Step 4: Simplify right side
    544,041x = 584,873,917,670.25
  5. Step 5: Solve for x
    x = 584,873,917,670.25/544,041
  6. Step 6: Final answer
    x = 1,075,054.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.