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Finding the Third Proportional to 263,532 and 407,610

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Solution

The third proportional to 263,532 and 407,610 is: 630,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,532 : 407,610 = 407,610 : x
  2. Step 2: Convert to fraction form
    263,532/407,610 = 407,610/x
  3. Step 3: Cross multiply
    263,532x = 407,610 × 407,610
  4. Step 4: Simplify right side
    263,532x = 166,145,912,100
  5. Step 5: Solve for x
    x = 166,145,912,100/263,532
  6. Step 6: Final answer
    x = 630,458.21

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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.