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Finding the Third Proportional to 214,353 and 470,742

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Solution

The third proportional to 214,353 and 470,742 is: 1,033,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,353 : 470,742 = 470,742 : x
  2. Step 2: Convert to fraction form
    214,353/470,742 = 470,742/x
  3. Step 3: Cross multiply
    214,353x = 470,742 × 470,742
  4. Step 4: Simplify right side
    214,353x = 221,598,030,564
  5. Step 5: Solve for x
    x = 221,598,030,564/214,353
  6. Step 6: Final answer
    x = 1,033,799.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.