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Finding the Third Proportional to 301,104 and 450,657

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Solution

The third proportional to 301,104 and 450,657 is: 674,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,104 : 450,657 = 450,657 : x
  2. Step 2: Convert to fraction form
    301,104/450,657 = 450,657/x
  3. Step 3: Cross multiply
    301,104x = 450,657 × 450,657
  4. Step 4: Simplify right side
    301,104x = 203,091,731,649
  5. Step 5: Solve for x
    x = 203,091,731,649/301,104
  6. Step 6: Final answer
    x = 674,490.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.