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Finding the Third Proportional to 393,988 and 577,005

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Solution

The third proportional to 393,988 and 577,005 is: 845,037.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,988 : 577,005 = 577,005 : x
  2. Step 2: Convert to fraction form
    393,988/577,005 = 577,005/x
  3. Step 3: Cross multiply
    393,988x = 577,005 × 577,005
  4. Step 4: Simplify right side
    393,988x = 332,934,770,025
  5. Step 5: Solve for x
    x = 332,934,770,025/393,988
  6. Step 6: Final answer
    x = 845,037.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.