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Finding the Third Proportional to 353,268 and 545,778

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Solution

The third proportional to 353,268 and 545,778 is: 843,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,268 : 545,778 = 545,778 : x
  2. Step 2: Convert to fraction form
    353,268/545,778 = 545,778/x
  3. Step 3: Cross multiply
    353,268x = 545,778 × 545,778
  4. Step 4: Simplify right side
    353,268x = 297,873,625,284
  5. Step 5: Solve for x
    x = 297,873,625,284/353,268
  6. Step 6: Final answer
    x = 843,194.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.