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Finding the Third Proportional to 219,742.88 and 470,589.75

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Solution

The third proportional to 219,742.88 and 470,589.75 is: 1,007,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,742.88 : 470,589.75 = 470,589.75 : x
  2. Step 2: Convert to fraction form
    219,742.88/470,589.75 = 470,589.75/x
  3. Step 3: Cross multiply
    219,742.88x = 470,589.75 × 470,589.75
  4. Step 4: Simplify right side
    219,742.88x = 221,454,712,805.06
  5. Step 5: Solve for x
    x = 221,454,712,805.06/219,742.88
  6. Step 6: Final answer
    x = 1,007,790.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.