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Finding the Third Proportional to 355,632 and 839,460

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Solution

The third proportional to 355,632 and 839,460 is: 1,981,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,632 : 839,460 = 839,460 : x
  2. Step 2: Convert to fraction form
    355,632/839,460 = 839,460/x
  3. Step 3: Cross multiply
    355,632x = 839,460 × 839,460
  4. Step 4: Simplify right side
    355,632x = 704,693,091,600
  5. Step 5: Solve for x
    x = 704,693,091,600/355,632
  6. Step 6: Final answer
    x = 1,981,523.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.