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Finding the Third Proportional to 542,936.53 and 819,968.63

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Solution

The third proportional to 542,936.53 and 819,968.63 is: 1,238,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,936.53 : 819,968.63 = 819,968.63 : x
  2. Step 2: Convert to fraction form
    542,936.53/819,968.63 = 819,968.63/x
  3. Step 3: Cross multiply
    542,936.53x = 819,968.63 × 819,968.63
  4. Step 4: Simplify right side
    542,936.53x = 672,348,545,984.39
  5. Step 5: Solve for x
    x = 672,348,545,984.39/542,936.53
  6. Step 6: Final answer
    x = 1,238,355.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.