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Finding the Third Proportional to 774,150.75 and 1,069,735.50

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Solution

The third proportional to 774,150.75 and 1,069,735.50 is: 1,478,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,150.75 : 1,069,735.50 = 1,069,735.50 : x
  2. Step 2: Convert to fraction form
    774,150.75/1,069,735.50 = 1,069,735.50/x
  3. Step 3: Cross multiply
    774,150.75x = 1,069,735.50 × 1,069,735.50
  4. Step 4: Simplify right side
    774,150.75x = 1,144,334,039,960.25
  5. Step 5: Solve for x
    x = 1,144,334,039,960.25/774,150.75
  6. Step 6: Final answer
    x = 1,478,179.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.