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Finding the Third Proportional to 219,037 and 470,796

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Solution

The third proportional to 219,037 and 470,796 is: 1,011,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,037 : 470,796 = 470,796 : x
  2. Step 2: Convert to fraction form
    219,037/470,796 = 470,796/x
  3. Step 3: Cross multiply
    219,037x = 470,796 × 470,796
  4. Step 4: Simplify right side
    219,037x = 221,648,873,616
  5. Step 5: Solve for x
    x = 221,648,873,616/219,037
  6. Step 6: Final answer
    x = 1,011,924.35

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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.