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Finding the Third Proportional to 301,405 and 410,462

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Solution

The third proportional to 301,405 and 410,462 is: 558,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,405 : 410,462 = 410,462 : x
  2. Step 2: Convert to fraction form
    301,405/410,462 = 410,462/x
  3. Step 3: Cross multiply
    301,405x = 410,462 × 410,462
  4. Step 4: Simplify right side
    301,405x = 168,479,053,444
  5. Step 5: Solve for x
    x = 168,479,053,444/301,405
  6. Step 6: Final answer
    x = 558,978.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.