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Finding the Third Proportional to 397,256.91 and 559,672.03

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Solution

The third proportional to 397,256.91 and 559,672.03 is: 788,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,256.91 : 559,672.03 = 559,672.03 : x
  2. Step 2: Convert to fraction form
    397,256.91/559,672.03 = 559,672.03/x
  3. Step 3: Cross multiply
    397,256.91x = 559,672.03 × 559,672.03
  4. Step 4: Simplify right side
    397,256.91x = 313,232,782,563.50
  5. Step 5: Solve for x
    x = 313,232,782,563.50/397,256.91
  6. Step 6: Final answer
    x = 788,489.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.