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Finding the Third Proportional to 236,315 and 518,554

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Solution

The third proportional to 236,315 and 518,554 is: 1,137,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,315 : 518,554 = 518,554 : x
  2. Step 2: Convert to fraction form
    236,315/518,554 = 518,554/x
  3. Step 3: Cross multiply
    236,315x = 518,554 × 518,554
  4. Step 4: Simplify right side
    236,315x = 268,898,250,916
  5. Step 5: Solve for x
    x = 268,898,250,916/236,315
  6. Step 6: Final answer
    x = 1,137,880.59

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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.