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Finding the Third Proportional to 236,376 and 505,960

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Solution

The third proportional to 236,376 and 505,960 is: 1,083,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,376 : 505,960 = 505,960 : x
  2. Step 2: Convert to fraction form
    236,376/505,960 = 505,960/x
  3. Step 3: Cross multiply
    236,376x = 505,960 × 505,960
  4. Step 4: Simplify right side
    236,376x = 255,995,521,600
  5. Step 5: Solve for x
    x = 255,995,521,600/236,376
  6. Step 6: Final answer
    x = 1,083,001.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.