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Finding the Third Proportional to 330,480.84 and 445,895.72

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Solution

The third proportional to 330,480.84 and 445,895.72 is: 601,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,480.84 : 445,895.72 = 445,895.72 : x
  2. Step 2: Convert to fraction form
    330,480.84/445,895.72 = 445,895.72/x
  3. Step 3: Cross multiply
    330,480.84x = 445,895.72 × 445,895.72
  4. Step 4: Simplify right side
    330,480.84x = 198,822,991,999.58
  5. Step 5: Solve for x
    x = 198,822,991,999.58/330,480.84
  6. Step 6: Final answer
    x = 601,617.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.