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Finding the Third Proportional to 640,552.50 and 982,536.75

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Solution

The third proportional to 640,552.50 and 982,536.75 is: 1,507,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,552.50 : 982,536.75 = 982,536.75 : x
  2. Step 2: Convert to fraction form
    640,552.50/982,536.75 = 982,536.75/x
  3. Step 3: Cross multiply
    640,552.50x = 982,536.75 × 982,536.75
  4. Step 4: Simplify right side
    640,552.50x = 965,378,465,100.56
  5. Step 5: Solve for x
    x = 965,378,465,100.56/640,552.50
  6. Step 6: Final answer
    x = 1,507,102.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.