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Finding the Third Proportional to 365,481.49 and 562,494.69

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Solution

The third proportional to 365,481.49 and 562,494.69 is: 865,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,481.49 : 562,494.69 = 562,494.69 : x
  2. Step 2: Convert to fraction form
    365,481.49/562,494.69 = 562,494.69/x
  3. Step 3: Cross multiply
    365,481.49x = 562,494.69 × 562,494.69
  4. Step 4: Simplify right side
    365,481.49x = 316,400,277,860.21
  5. Step 5: Solve for x
    x = 316,400,277,860.21/365,481.49
  6. Step 6: Final answer
    x = 865,708.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.