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Finding the Third Proportional to 240,450 and 375,232

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Solution

The third proportional to 240,450 and 375,232 is: 585,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,450 : 375,232 = 375,232 : x
  2. Step 2: Convert to fraction form
    240,450/375,232 = 375,232/x
  3. Step 3: Cross multiply
    240,450x = 375,232 × 375,232
  4. Step 4: Simplify right side
    240,450x = 140,799,053,824
  5. Step 5: Solve for x
    x = 140,799,053,824/240,450
  6. Step 6: Final answer
    x = 585,564.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.