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Finding the Third Proportional to 301,080 and 451,644

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Solution

The third proportional to 301,080 and 451,644 is: 677,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,080 : 451,644 = 451,644 : x
  2. Step 2: Convert to fraction form
    301,080/451,644 = 451,644/x
  3. Step 3: Cross multiply
    301,080x = 451,644 × 451,644
  4. Step 4: Simplify right side
    301,080x = 203,982,302,736
  5. Step 5: Solve for x
    x = 203,982,302,736/301,080
  6. Step 6: Final answer
    x = 677,502.00

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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.