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Finding the Third Proportional to 340,448.06 and 477,132.19

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Solution

The third proportional to 340,448.06 and 477,132.19 is: 668,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,448.06 : 477,132.19 = 477,132.19 : x
  2. Step 2: Convert to fraction form
    340,448.06/477,132.19 = 477,132.19/x
  3. Step 3: Cross multiply
    340,448.06x = 477,132.19 × 477,132.19
  4. Step 4: Simplify right side
    340,448.06x = 227,655,124,348.54
  5. Step 5: Solve for x
    x = 227,655,124,348.54/340,448.06
  6. Step 6: Final answer
    x = 668,692.67

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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.