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Finding the Third Proportional to 218,672.16 and 470,556.84

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Solution

The third proportional to 218,672.16 and 470,556.84 is: 1,012,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,672.16 : 470,556.84 = 470,556.84 : x
  2. Step 2: Convert to fraction form
    218,672.16/470,556.84 = 470,556.84/x
  3. Step 3: Cross multiply
    218,672.16x = 470,556.84 × 470,556.84
  4. Step 4: Simplify right side
    218,672.16x = 221,423,743,199.96
  5. Step 5: Solve for x
    x = 221,423,743,199.96/218,672.16
  6. Step 6: Final answer
    x = 1,012,583.16

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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.