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Finding the Third Proportional to 302,634.56 and 664,044.75

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Solution

The third proportional to 302,634.56 and 664,044.75 is: 1,457,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634.56 : 664,044.75 = 664,044.75 : x
  2. Step 2: Convert to fraction form
    302,634.56/664,044.75 = 664,044.75/x
  3. Step 3: Cross multiply
    302,634.56x = 664,044.75 × 664,044.75
  4. Step 4: Simplify right side
    302,634.56x = 440,955,430,002.56
  5. Step 5: Solve for x
    x = 440,955,430,002.56/302,634.56
  6. Step 6: Final answer
    x = 1,457,055.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.