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Finding the Third Proportional to 219,013.88 and 470,756.81

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Solution

The third proportional to 219,013.88 and 470,756.81 is: 1,011,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,013.88 : 470,756.81 = 470,756.81 : x
  2. Step 2: Convert to fraction form
    219,013.88/470,756.81 = 470,756.81/x
  3. Step 3: Cross multiply
    219,013.88x = 470,756.81 × 470,756.81
  4. Step 4: Simplify right side
    219,013.88x = 221,611,976,515.16
  5. Step 5: Solve for x
    x = 221,611,976,515.16/219,013.88
  6. Step 6: Final answer
    x = 1,011,862.73

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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.