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Finding the Third Proportional to 233,462 and 352,299

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Solution

The third proportional to 233,462 and 352,299 is: 531,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,462 : 352,299 = 352,299 : x
  2. Step 2: Convert to fraction form
    233,462/352,299 = 352,299/x
  3. Step 3: Cross multiply
    233,462x = 352,299 × 352,299
  4. Step 4: Simplify right side
    233,462x = 124,114,585,401
  5. Step 5: Solve for x
    x = 124,114,585,401/233,462
  6. Step 6: Final answer
    x = 531,626.50

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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.