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Finding the Third Proportional to 280,584 and 436,104

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Solution

The third proportional to 280,584 and 436,104 is: 677,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584 : 436,104 = 436,104 : x
  2. Step 2: Convert to fraction form
    280,584/436,104 = 436,104/x
  3. Step 3: Cross multiply
    280,584x = 436,104 × 436,104
  4. Step 4: Simplify right side
    280,584x = 190,186,698,816
  5. Step 5: Solve for x
    x = 190,186,698,816/280,584
  6. Step 6: Final answer
    x = 677,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.