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Finding the Third Proportional to 335,130.75 and 718,231.50

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Solution

The third proportional to 335,130.75 and 718,231.50 is: 1,539,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,130.75 : 718,231.50 = 718,231.50 : x
  2. Step 2: Convert to fraction form
    335,130.75/718,231.50 = 718,231.50/x
  3. Step 3: Cross multiply
    335,130.75x = 718,231.50 × 718,231.50
  4. Step 4: Simplify right side
    335,130.75x = 515,856,487,592.25
  5. Step 5: Solve for x
    x = 515,856,487,592.25/335,130.75
  6. Step 6: Final answer
    x = 1,539,269.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.