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Finding the Third Proportional to 365,102 and 784,174

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Solution

The third proportional to 365,102 and 784,174 is: 1,684,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,102 : 784,174 = 784,174 : x
  2. Step 2: Convert to fraction form
    365,102/784,174 = 784,174/x
  3. Step 3: Cross multiply
    365,102x = 784,174 × 784,174
  4. Step 4: Simplify right side
    365,102x = 614,928,862,276
  5. Step 5: Solve for x
    x = 614,928,862,276/365,102
  6. Step 6: Final answer
    x = 1,684,265.94

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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.