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Finding the Third Proportional to 214,309 and 470,926

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Solution

The third proportional to 214,309 and 470,926 is: 1,034,820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,309 : 470,926 = 470,926 : x
  2. Step 2: Convert to fraction form
    214,309/470,926 = 470,926/x
  3. Step 3: Cross multiply
    214,309x = 470,926 × 470,926
  4. Step 4: Simplify right side
    214,309x = 221,771,297,476
  5. Step 5: Solve for x
    x = 221,771,297,476/214,309
  6. Step 6: Final answer
    x = 1,034,820.27

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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.