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Finding the Third Proportional to 397,256.63 and 599,598

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Solution

The third proportional to 397,256.63 and 599,598 is: 905,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,256.63 : 599,598 = 599,598 : x
  2. Step 2: Convert to fraction form
    397,256.63/599,598 = 599,598/x
  3. Step 3: Cross multiply
    397,256.63x = 599,598 × 599,598
  4. Step 4: Simplify right side
    397,256.63x = 359,517,761,604
  5. Step 5: Solve for x
    x = 359,517,761,604/397,256.63
  6. Step 6: Final answer
    x = 905,001.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.