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Finding the Third Proportional to 330,968.63 and 496,008.38

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Solution

The third proportional to 330,968.63 and 496,008.38 is: 743,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,968.63 : 496,008.38 = 496,008.38 : x
  2. Step 2: Convert to fraction form
    330,968.63/496,008.38 = 496,008.38/x
  3. Step 3: Cross multiply
    330,968.63x = 496,008.38 × 496,008.38
  4. Step 4: Simplify right side
    330,968.63x = 246,024,308,070.14
  5. Step 5: Solve for x
    x = 246,024,308,070.14/330,968.63
  6. Step 6: Final answer
    x = 743,346.32

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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.