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Finding the Third Proportional to 579,449.53 and 852,422.06

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Solution

The third proportional to 579,449.53 and 852,422.06 is: 1,253,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,449.53 : 852,422.06 = 852,422.06 : x
  2. Step 2: Convert to fraction form
    579,449.53/852,422.06 = 852,422.06/x
  3. Step 3: Cross multiply
    579,449.53x = 852,422.06 × 852,422.06
  4. Step 4: Simplify right side
    579,449.53x = 726,623,372,636.75
  5. Step 5: Solve for x
    x = 726,623,372,636.75/579,449.53
  6. Step 6: Final answer
    x = 1,253,989.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.