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Finding the Third Proportional to 306,003 and 449,670

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Solution

The third proportional to 306,003 and 449,670 is: 660,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,003 : 449,670 = 449,670 : x
  2. Step 2: Convert to fraction form
    306,003/449,670 = 449,670/x
  3. Step 3: Cross multiply
    306,003x = 449,670 × 449,670
  4. Step 4: Simplify right side
    306,003x = 202,203,108,900
  5. Step 5: Solve for x
    x = 202,203,108,900/306,003
  6. Step 6: Final answer
    x = 660,788.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.