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Finding the Third Proportional to 405,240 and 879,168

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Solution

The third proportional to 405,240 and 879,168 is: 1,907,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,240 : 879,168 = 879,168 : x
  2. Step 2: Convert to fraction form
    405,240/879,168 = 879,168/x
  3. Step 3: Cross multiply
    405,240x = 879,168 × 879,168
  4. Step 4: Simplify right side
    405,240x = 772,936,372,224
  5. Step 5: Solve for x
    x = 772,936,372,224/405,240
  6. Step 6: Final answer
    x = 1,907,354.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.