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Finding the Third Proportional to 329,158 and 491,583

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Solution

The third proportional to 329,158 and 491,583 is: 734,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,158 : 491,583 = 491,583 : x
  2. Step 2: Convert to fraction form
    329,158/491,583 = 491,583/x
  3. Step 3: Cross multiply
    329,158x = 491,583 × 491,583
  4. Step 4: Simplify right side
    329,158x = 241,653,845,889
  5. Step 5: Solve for x
    x = 241,653,845,889/329,158
  6. Step 6: Final answer
    x = 734,157.60

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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.