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Finding the Third Proportional to 264,870 and 397,890

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Solution

The third proportional to 264,870 and 397,890 is: 597,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,870 : 397,890 = 397,890 : x
  2. Step 2: Convert to fraction form
    264,870/397,890 = 397,890/x
  3. Step 3: Cross multiply
    264,870x = 397,890 × 397,890
  4. Step 4: Simplify right side
    264,870x = 158,316,452,100
  5. Step 5: Solve for x
    x = 158,316,452,100/264,870
  6. Step 6: Final answer
    x = 597,713.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.