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Finding the Third Proportional to 386,980 and 597,722

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Solution

The third proportional to 386,980 and 597,722 is: 923,230.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,980 : 597,722 = 597,722 : x
  2. Step 2: Convert to fraction form
    386,980/597,722 = 597,722/x
  3. Step 3: Cross multiply
    386,980x = 597,722 × 597,722
  4. Step 4: Simplify right side
    386,980x = 357,271,589,284
  5. Step 5: Solve for x
    x = 357,271,589,284/386,980
  6. Step 6: Final answer
    x = 923,230.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.