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Finding the Third Proportional to 236,676 and 509,438

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Solution

The third proportional to 236,676 and 509,438 is: 1,096,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,676 : 509,438 = 509,438 : x
  2. Step 2: Convert to fraction form
    236,676/509,438 = 509,438/x
  3. Step 3: Cross multiply
    236,676x = 509,438 × 509,438
  4. Step 4: Simplify right side
    236,676x = 259,527,075,844
  5. Step 5: Solve for x
    x = 259,527,075,844/236,676
  6. Step 6: Final answer
    x = 1,096,550.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.