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Finding the Third Proportional to 405,096.19 and 590,991.19

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Solution

The third proportional to 405,096.19 and 590,991.19 is: 862,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,096.19 : 590,991.19 = 590,991.19 : x
  2. Step 2: Convert to fraction form
    405,096.19/590,991.19 = 590,991.19/x
  3. Step 3: Cross multiply
    405,096.19x = 590,991.19 × 590,991.19
  4. Step 4: Simplify right side
    405,096.19x = 349,270,583,702.66
  5. Step 5: Solve for x
    x = 349,270,583,702.66/405,096.19
  6. Step 6: Final answer
    x = 862,191.73

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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.