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Finding the Third Proportional to 364,514 and 784,906

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Solution

The third proportional to 364,514 and 784,906 is: 1,690,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,514 : 784,906 = 784,906 : x
  2. Step 2: Convert to fraction form
    364,514/784,906 = 784,906/x
  3. Step 3: Cross multiply
    364,514x = 784,906 × 784,906
  4. Step 4: Simplify right side
    364,514x = 616,077,428,836
  5. Step 5: Solve for x
    x = 616,077,428,836/364,514
  6. Step 6: Final answer
    x = 1,690,133.79

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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.