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Finding the Third Proportional to 264,594 and 397,487

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Solution

The third proportional to 264,594 and 397,487 is: 597,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,594 : 397,487 = 397,487 : x
  2. Step 2: Convert to fraction form
    264,594/397,487 = 397,487/x
  3. Step 3: Cross multiply
    264,594x = 397,487 × 397,487
  4. Step 4: Simplify right side
    264,594x = 157,995,915,169
  5. Step 5: Solve for x
    x = 157,995,915,169/264,594
  6. Step 6: Final answer
    x = 597,125.84

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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.