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Finding the Third Proportional to 413,446.50 and 890,232

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Solution

The third proportional to 413,446.50 and 890,232 is: 1,916,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,446.50 : 890,232 = 890,232 : x
  2. Step 2: Convert to fraction form
    413,446.50/890,232 = 890,232/x
  3. Step 3: Cross multiply
    413,446.50x = 890,232 × 890,232
  4. Step 4: Simplify right side
    413,446.50x = 792,513,013,824
  5. Step 5: Solve for x
    x = 792,513,013,824/413,446.50
  6. Step 6: Final answer
    x = 1,916,845.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.