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Finding the Third Proportional to 340,539.82 and 722,589.93

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Solution

The third proportional to 340,539.82 and 722,589.93 is: 1,533,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,539.82 : 722,589.93 = 722,589.93 : x
  2. Step 2: Convert to fraction form
    340,539.82/722,589.93 = 722,589.93/x
  3. Step 3: Cross multiply
    340,539.82x = 722,589.93 × 722,589.93
  4. Step 4: Simplify right side
    340,539.82x = 522,136,200,840.55
  5. Step 5: Solve for x
    x = 522,136,200,840.55/340,539.82
  6. Step 6: Final answer
    x = 1,533,260.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.