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Finding the Third Proportional to 367,825 and 562,430

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Solution

The third proportional to 367,825 and 562,430 is: 859,994.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,825 : 562,430 = 562,430 : x
  2. Step 2: Convert to fraction form
    367,825/562,430 = 562,430/x
  3. Step 3: Cross multiply
    367,825x = 562,430 × 562,430
  4. Step 4: Simplify right side
    367,825x = 316,327,504,900
  5. Step 5: Solve for x
    x = 316,327,504,900/367,825
  6. Step 6: Final answer
    x = 859,994.58

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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.