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Finding the Third Proportional to 219,016 and 470,750

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Solution

The third proportional to 219,016 and 470,750 is: 1,011,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,016 : 470,750 = 470,750 : x
  2. Step 2: Convert to fraction form
    219,016/470,750 = 470,750/x
  3. Step 3: Cross multiply
    219,016x = 470,750 × 470,750
  4. Step 4: Simplify right side
    219,016x = 221,605,562,500
  5. Step 5: Solve for x
    x = 221,605,562,500/219,016
  6. Step 6: Final answer
    x = 1,011,823.62

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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.