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Finding the Third Proportional to 212,947.88 and 469,104

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Solution

The third proportional to 212,947.88 and 469,104 is: 1,033,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,947.88 : 469,104 = 469,104 : x
  2. Step 2: Convert to fraction form
    212,947.88/469,104 = 469,104/x
  3. Step 3: Cross multiply
    212,947.88x = 469,104 × 469,104
  4. Step 4: Simplify right side
    212,947.88x = 220,058,562,816
  5. Step 5: Solve for x
    x = 220,058,562,816/212,947.88
  6. Step 6: Final answer
    x = 1,033,391.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.