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Finding the Third Proportional to 336,756 and 508,633

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Solution

The third proportional to 336,756 and 508,633 is: 768,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,756 : 508,633 = 508,633 : x
  2. Step 2: Convert to fraction form
    336,756/508,633 = 508,633/x
  3. Step 3: Cross multiply
    336,756x = 508,633 × 508,633
  4. Step 4: Simplify right side
    336,756x = 258,707,528,689
  5. Step 5: Solve for x
    x = 258,707,528,689/336,756
  6. Step 6: Final answer
    x = 768,234.36

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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.