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Finding the Third Proportional to 336,992 and 506,856

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Solution

The third proportional to 336,992 and 506,856 is: 762,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,992 : 506,856 = 506,856 : x
  2. Step 2: Convert to fraction form
    336,992/506,856 = 506,856/x
  3. Step 3: Cross multiply
    336,992x = 506,856 × 506,856
  4. Step 4: Simplify right side
    336,992x = 256,903,004,736
  5. Step 5: Solve for x
    x = 256,903,004,736/336,992
  6. Step 6: Final answer
    x = 762,341.55

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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.