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Finding the Third Proportional to 764,041 and 1,033,954.50

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Solution

The third proportional to 764,041 and 1,033,954.50 is: 1,399,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,041 : 1,033,954.50 = 1,033,954.50 : x
  2. Step 2: Convert to fraction form
    764,041/1,033,954.50 = 1,033,954.50/x
  3. Step 3: Cross multiply
    764,041x = 1,033,954.50 × 1,033,954.50
  4. Step 4: Simplify right side
    764,041x = 1,069,061,908,070.25
  5. Step 5: Solve for x
    x = 1,069,061,908,070.25/764,041
  6. Step 6: Final answer
    x = 1,399,220.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.