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Finding the Third Proportional to 280,962 and 444,771

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Solution

The third proportional to 280,962 and 444,771 is: 704,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,962 : 444,771 = 444,771 : x
  2. Step 2: Convert to fraction form
    280,962/444,771 = 444,771/x
  3. Step 3: Cross multiply
    280,962x = 444,771 × 444,771
  4. Step 4: Simplify right side
    280,962x = 197,821,242,441
  5. Step 5: Solve for x
    x = 197,821,242,441/280,962
  6. Step 6: Final answer
    x = 704,085.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.