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Finding the Third Proportional to 236,271 and 509,872.50

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Solution

The third proportional to 236,271 and 509,872.50 is: 1,100,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,271 : 509,872.50 = 509,872.50 : x
  2. Step 2: Convert to fraction form
    236,271/509,872.50 = 509,872.50/x
  3. Step 3: Cross multiply
    236,271x = 509,872.50 × 509,872.50
  4. Step 4: Simplify right side
    236,271x = 259,969,966,256.25
  5. Step 5: Solve for x
    x = 259,969,966,256.25/236,271
  6. Step 6: Final answer
    x = 1,100,304.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.