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Finding the Third Proportional to 330,801.75 and 494,899.88

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Solution

The third proportional to 330,801.75 and 494,899.88 is: 740,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,801.75 : 494,899.88 = 494,899.88 : x
  2. Step 2: Convert to fraction form
    330,801.75/494,899.88 = 494,899.88/x
  3. Step 3: Cross multiply
    330,801.75x = 494,899.88 × 494,899.88
  4. Step 4: Simplify right side
    330,801.75x = 244,925,886,275.02
  5. Step 5: Solve for x
    x = 244,925,886,275.02/330,801.75
  6. Step 6: Final answer
    x = 740,400.82

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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.