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Finding the Third Proportional to 397,558.13 and 590,937.19

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Solution

The third proportional to 397,558.13 and 590,937.19 is: 878,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,558.13 : 590,937.19 = 590,937.19 : x
  2. Step 2: Convert to fraction form
    397,558.13/590,937.19 = 590,937.19/x
  3. Step 3: Cross multiply
    397,558.13x = 590,937.19 × 590,937.19
  4. Step 4: Simplify right side
    397,558.13x = 349,206,759,570.41
  5. Step 5: Solve for x
    x = 349,206,759,570.41/397,558.13
  6. Step 6: Final answer
    x = 878,379.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.