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Finding the Third Proportional to 332,648 and 508,951

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Solution

The third proportional to 332,648 and 508,951 is: 778,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,648 : 508,951 = 508,951 : x
  2. Step 2: Convert to fraction form
    332,648/508,951 = 508,951/x
  3. Step 3: Cross multiply
    332,648x = 508,951 × 508,951
  4. Step 4: Simplify right side
    332,648x = 259,031,120,401
  5. Step 5: Solve for x
    x = 259,031,120,401/332,648
  6. Step 6: Final answer
    x = 778,694.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.