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Finding the Third Proportional to 336,827 and 508,738

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Solution

The third proportional to 336,827 and 508,738 is: 768,389.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,827 : 508,738 = 508,738 : x
  2. Step 2: Convert to fraction form
    336,827/508,738 = 508,738/x
  3. Step 3: Cross multiply
    336,827x = 508,738 × 508,738
  4. Step 4: Simplify right side
    336,827x = 258,814,352,644
  5. Step 5: Solve for x
    x = 258,814,352,644/336,827
  6. Step 6: Final answer
    x = 768,389.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.