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Finding the Third Proportional to 588,241.50 and 828,355.50

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Solution

The third proportional to 588,241.50 and 828,355.50 is: 1,166,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,241.50 : 828,355.50 = 828,355.50 : x
  2. Step 2: Convert to fraction form
    588,241.50/828,355.50 = 828,355.50/x
  3. Step 3: Cross multiply
    588,241.50x = 828,355.50 × 828,355.50
  4. Step 4: Simplify right side
    588,241.50x = 686,172,834,380.25
  5. Step 5: Solve for x
    x = 686,172,834,380.25/588,241.50
  6. Step 6: Final answer
    x = 1,166,481.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.