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Finding the Third Proportional to 280,326 and 435,255

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Solution

The third proportional to 280,326 and 435,255 is: 675,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,326 : 435,255 = 435,255 : x
  2. Step 2: Convert to fraction form
    280,326/435,255 = 435,255/x
  3. Step 3: Cross multiply
    280,326x = 435,255 × 435,255
  4. Step 4: Simplify right side
    280,326x = 189,446,915,025
  5. Step 5: Solve for x
    x = 189,446,915,025/280,326
  6. Step 6: Final answer
    x = 675,809.29

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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.