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Finding the Third Proportional to 397,261.13 and 588,166.31

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Solution

The third proportional to 397,261.13 and 588,166.31 is: 870,811.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,261.13 : 588,166.31 = 588,166.31 : x
  2. Step 2: Convert to fraction form
    397,261.13/588,166.31 = 588,166.31/x
  3. Step 3: Cross multiply
    397,261.13x = 588,166.31 × 588,166.31
  4. Step 4: Simplify right side
    397,261.13x = 345,939,611,159.85
  5. Step 5: Solve for x
    x = 345,939,611,159.85/397,261.13
  6. Step 6: Final answer
    x = 870,811.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.