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Finding the Third Proportional to 264,232 and 580,952

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Solution

The third proportional to 264,232 and 580,952 is: 1,277,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,232 : 580,952 = 580,952 : x
  2. Step 2: Convert to fraction form
    264,232/580,952 = 580,952/x
  3. Step 3: Cross multiply
    264,232x = 580,952 × 580,952
  4. Step 4: Simplify right side
    264,232x = 337,505,226,304
  5. Step 5: Solve for x
    x = 337,505,226,304/264,232
  6. Step 6: Final answer
    x = 1,277,306.41

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.