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Finding the Third Proportional to 262,622 and 407,433

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Solution

The third proportional to 262,622 and 407,433 is: 632,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,622 : 407,433 = 407,433 : x
  2. Step 2: Convert to fraction form
    262,622/407,433 = 407,433/x
  3. Step 3: Cross multiply
    262,622x = 407,433 × 407,433
  4. Step 4: Simplify right side
    262,622x = 166,001,649,489
  5. Step 5: Solve for x
    x = 166,001,649,489/262,622
  6. Step 6: Final answer
    x = 632,093.46

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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.