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Finding the Third Proportional to 365,104 and 784,178

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Solution

The third proportional to 365,104 and 784,178 is: 1,684,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,104 : 784,178 = 784,178 : x
  2. Step 2: Convert to fraction form
    365,104/784,178 = 784,178/x
  3. Step 3: Cross multiply
    365,104x = 784,178 × 784,178
  4. Step 4: Simplify right side
    365,104x = 614,935,135,684
  5. Step 5: Solve for x
    x = 614,935,135,684/365,104
  6. Step 6: Final answer
    x = 1,684,273.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.