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Finding the Third Proportional to 300,372 and 653,232

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Solution

The third proportional to 300,372 and 653,232 is: 1,420,611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,372 : 653,232 = 653,232 : x
  2. Step 2: Convert to fraction form
    300,372/653,232 = 653,232/x
  3. Step 3: Cross multiply
    300,372x = 653,232 × 653,232
  4. Step 4: Simplify right side
    300,372x = 426,712,045,824
  5. Step 5: Solve for x
    x = 426,712,045,824/300,372
  6. Step 6: Final answer
    x = 1,420,611.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.