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Finding the Third Proportional to 336,308 and 491,530

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Solution

The third proportional to 336,308 and 491,530 is: 718,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,308 : 491,530 = 491,530 : x
  2. Step 2: Convert to fraction form
    336,308/491,530 = 491,530/x
  3. Step 3: Cross multiply
    336,308x = 491,530 × 491,530
  4. Step 4: Simplify right side
    336,308x = 241,601,740,900
  5. Step 5: Solve for x
    x = 241,601,740,900/336,308
  6. Step 6: Final answer
    x = 718,394.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.