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Finding the Third Proportional to 364,512 and 784,902

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Solution

The third proportional to 364,512 and 784,902 is: 1,690,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,512 : 784,902 = 784,902 : x
  2. Step 2: Convert to fraction form
    364,512/784,902 = 784,902/x
  3. Step 3: Cross multiply
    364,512x = 784,902 × 784,902
  4. Step 4: Simplify right side
    364,512x = 616,071,149,604
  5. Step 5: Solve for x
    x = 616,071,149,604/364,512
  6. Step 6: Final answer
    x = 1,690,125.84

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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.