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Finding the Third Proportional to 332,946 and 512,299

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Solution

The third proportional to 332,946 and 512,299 is: 788,266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,946 : 512,299 = 512,299 : x
  2. Step 2: Convert to fraction form
    332,946/512,299 = 512,299/x
  3. Step 3: Cross multiply
    332,946x = 512,299 × 512,299
  4. Step 4: Simplify right side
    332,946x = 262,450,265,401
  5. Step 5: Solve for x
    x = 262,450,265,401/332,946
  6. Step 6: Final answer
    x = 788,266.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.