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Finding the Third Proportional to 236,223.84 and 511,812.84

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Solution

The third proportional to 236,223.84 and 511,812.84 is: 1,108,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,223.84 : 511,812.84 = 511,812.84 : x
  2. Step 2: Convert to fraction form
    236,223.84/511,812.84 = 511,812.84/x
  3. Step 3: Cross multiply
    236,223.84x = 511,812.84 × 511,812.84
  4. Step 4: Simplify right side
    236,223.84x = 261,952,387,027.46
  5. Step 5: Solve for x
    x = 261,952,387,027.46/236,223.84
  6. Step 6: Final answer
    x = 1,108,915.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.