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Finding the Third Proportional to 368,721 and 562,923

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Solution

The third proportional to 368,721 and 562,923 is: 859,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,721 : 562,923 = 562,923 : x
  2. Step 2: Convert to fraction form
    368,721/562,923 = 562,923/x
  3. Step 3: Cross multiply
    368,721x = 562,923 × 562,923
  4. Step 4: Simplify right side
    368,721x = 316,882,303,929
  5. Step 5: Solve for x
    x = 316,882,303,929/368,721
  6. Step 6: Final answer
    x = 859,409.43

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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.