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Finding the Third Proportional to 531,786.50 and 1,138,324

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Solution

The third proportional to 531,786.50 and 1,138,324 is: 2,436,657.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,786.50 : 1,138,324 = 1,138,324 : x
  2. Step 2: Convert to fraction form
    531,786.50/1,138,324 = 1,138,324/x
  3. Step 3: Cross multiply
    531,786.50x = 1,138,324 × 1,138,324
  4. Step 4: Simplify right side
    531,786.50x = 1,295,781,528,976
  5. Step 5: Solve for x
    x = 1,295,781,528,976/531,786.50
  6. Step 6: Final answer
    x = 2,436,657.43

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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.