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Finding the Third Proportional to 515,039.34 and 784,553.34

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Solution

The third proportional to 515,039.34 and 784,553.34 is: 1,195,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,039.34 : 784,553.34 = 784,553.34 : x
  2. Step 2: Convert to fraction form
    515,039.34/784,553.34 = 784,553.34/x
  3. Step 3: Cross multiply
    515,039.34x = 784,553.34 × 784,553.34
  4. Step 4: Simplify right side
    515,039.34x = 615,523,949,189.31
  5. Step 5: Solve for x
    x = 615,523,949,189.31/515,039.34
  6. Step 6: Final answer
    x = 1,195,100.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.