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Finding the Third Proportional to 330,596 and 491,034

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Solution

The third proportional to 330,596 and 491,034 is: 729,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,596 : 491,034 = 491,034 : x
  2. Step 2: Convert to fraction form
    330,596/491,034 = 491,034/x
  3. Step 3: Cross multiply
    330,596x = 491,034 × 491,034
  4. Step 4: Simplify right side
    330,596x = 241,114,389,156
  5. Step 5: Solve for x
    x = 241,114,389,156/330,596
  6. Step 6: Final answer
    x = 729,332.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.