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Finding the Third Proportional to 565,626.50 and 791,201

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Solution

The third proportional to 565,626.50 and 791,201 is: 1,106,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,626.50 : 791,201 = 791,201 : x
  2. Step 2: Convert to fraction form
    565,626.50/791,201 = 791,201/x
  3. Step 3: Cross multiply
    565,626.50x = 791,201 × 791,201
  4. Step 4: Simplify right side
    565,626.50x = 625,999,022,401
  5. Step 5: Solve for x
    x = 625,999,022,401/565,626.50
  6. Step 6: Final answer
    x = 1,106,735.67

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.