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Finding the Third Proportional to 218,980.13 and 470,692.69

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Solution

The third proportional to 218,980.13 and 470,692.69 is: 1,011,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,980.13 : 470,692.69 = 470,692.69 : x
  2. Step 2: Convert to fraction form
    218,980.13/470,692.69 = 470,692.69/x
  3. Step 3: Cross multiply
    218,980.13x = 470,692.69 × 470,692.69
  4. Step 4: Simplify right side
    218,980.13x = 221,551,606,065.97
  5. Step 5: Solve for x
    x = 221,551,606,065.97/218,980.13
  6. Step 6: Final answer
    x = 1,011,742.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.