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Finding the Third Proportional to 264,567 and 397,445

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Solution

The third proportional to 264,567 and 397,445 is: 597,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,567 : 397,445 = 397,445 : x
  2. Step 2: Convert to fraction form
    264,567/397,445 = 397,445/x
  3. Step 3: Cross multiply
    264,567x = 397,445 × 397,445
  4. Step 4: Simplify right side
    264,567x = 157,962,528,025
  5. Step 5: Solve for x
    x = 157,962,528,025/264,567
  6. Step 6: Final answer
    x = 597,060.59

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Why These Related Problems?

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