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Finding the Third Proportional to 217,994 and 470,388

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Solution

The third proportional to 217,994 and 470,388 is: 1,015,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,994 : 470,388 = 470,388 : x
  2. Step 2: Convert to fraction form
    217,994/470,388 = 470,388/x
  3. Step 3: Cross multiply
    217,994x = 470,388 × 470,388
  4. Step 4: Simplify right side
    217,994x = 221,264,870,544
  5. Step 5: Solve for x
    x = 221,264,870,544/217,994
  6. Step 6: Final answer
    x = 1,015,004.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.