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Finding the Third Proportional to 264,428.25 and 542,934.75

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Solution

The third proportional to 264,428.25 and 542,934.75 is: 1,114,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428.25 : 542,934.75 = 542,934.75 : x
  2. Step 2: Convert to fraction form
    264,428.25/542,934.75 = 542,934.75/x
  3. Step 3: Cross multiply
    264,428.25x = 542,934.75 × 542,934.75
  4. Step 4: Simplify right side
    264,428.25x = 294,778,142,757.56
  5. Step 5: Solve for x
    x = 294,778,142,757.56/264,428.25
  6. Step 6: Final answer
    x = 1,114,775.53

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.