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Finding the Third Proportional to 236,296 and 518,522

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Solution

The third proportional to 236,296 and 518,522 is: 1,137,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,296 : 518,522 = 518,522 : x
  2. Step 2: Convert to fraction form
    236,296/518,522 = 518,522/x
  3. Step 3: Cross multiply
    236,296x = 518,522 × 518,522
  4. Step 4: Simplify right side
    236,296x = 268,865,064,484
  5. Step 5: Solve for x
    x = 268,865,064,484/236,296
  6. Step 6: Final answer
    x = 1,137,831.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.