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Finding the Third Proportional to 218,308 and 470,200

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Solution

The third proportional to 218,308 and 470,200 is: 1,012,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,308 : 470,200 = 470,200 : x
  2. Step 2: Convert to fraction form
    218,308/470,200 = 470,200/x
  3. Step 3: Cross multiply
    218,308x = 470,200 × 470,200
  4. Step 4: Simplify right side
    218,308x = 221,088,040,000
  5. Step 5: Solve for x
    x = 221,088,040,000/218,308
  6. Step 6: Final answer
    x = 1,012,734.49

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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.