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Finding the Third Proportional to 216,040 and 470,816

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Solution

The third proportional to 216,040 and 470,816 is: 1,026,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,040 : 470,816 = 470,816 : x
  2. Step 2: Convert to fraction form
    216,040/470,816 = 470,816/x
  3. Step 3: Cross multiply
    216,040x = 470,816 × 470,816
  4. Step 4: Simplify right side
    216,040x = 221,667,705,856
  5. Step 5: Solve for x
    x = 221,667,705,856/216,040
  6. Step 6: Final answer
    x = 1,026,049.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.