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Finding the Third Proportional to 367,416 and 562,059

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Solution

The third proportional to 367,416 and 562,059 is: 859,816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,416 : 562,059 = 562,059 : x
  2. Step 2: Convert to fraction form
    367,416/562,059 = 562,059/x
  3. Step 3: Cross multiply
    367,416x = 562,059 × 562,059
  4. Step 4: Simplify right side
    367,416x = 315,910,319,481
  5. Step 5: Solve for x
    x = 315,910,319,481/367,416
  6. Step 6: Final answer
    x = 859,816.45

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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.