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Finding the Third Proportional to 219,015 and 470,754

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Solution

The third proportional to 219,015 and 470,754 is: 1,011,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,015 : 470,754 = 470,754 : x
  2. Step 2: Convert to fraction form
    219,015/470,754 = 470,754/x
  3. Step 3: Cross multiply
    219,015x = 470,754 × 470,754
  4. Step 4: Simplify right side
    219,015x = 221,609,328,516
  5. Step 5: Solve for x
    x = 221,609,328,516/219,015
  6. Step 6: Final answer
    x = 1,011,845.44

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Why These Related Problems?

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