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Finding the Third Proportional to 367,600 and 562,214

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Solution

The third proportional to 367,600 and 562,214 is: 859,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,600 : 562,214 = 562,214 : x
  2. Step 2: Convert to fraction form
    367,600/562,214 = 562,214/x
  3. Step 3: Cross multiply
    367,600x = 562,214 × 562,214
  4. Step 4: Simplify right side
    367,600x = 316,084,581,796
  5. Step 5: Solve for x
    x = 316,084,581,796/367,600
  6. Step 6: Final answer
    x = 859,860.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.