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Finding the Third Proportional to 236,302 and 518,532

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Solution

The third proportional to 236,302 and 518,532 is: 1,137,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,302 : 518,532 = 518,532 : x
  2. Step 2: Convert to fraction form
    236,302/518,532 = 518,532/x
  3. Step 3: Cross multiply
    236,302x = 518,532 × 518,532
  4. Step 4: Simplify right side
    236,302x = 268,875,435,024
  5. Step 5: Solve for x
    x = 268,875,435,024/236,302
  6. Step 6: Final answer
    x = 1,137,846.63

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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.