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Finding the Third Proportional to 353,772 and 498,975

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Solution

The third proportional to 353,772 and 498,975 is: 703,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,772 : 498,975 = 498,975 : x
  2. Step 2: Convert to fraction form
    353,772/498,975 = 498,975/x
  3. Step 3: Cross multiply
    353,772x = 498,975 × 498,975
  4. Step 4: Simplify right side
    353,772x = 248,976,050,625
  5. Step 5: Solve for x
    x = 248,976,050,625/353,772
  6. Step 6: Final answer
    x = 703,775.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.