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Finding the Third Proportional to 355,634 and 839,465

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Solution

The third proportional to 355,634 and 839,465 is: 1,981,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,634 : 839,465 = 839,465 : x
  2. Step 2: Convert to fraction form
    355,634/839,465 = 839,465/x
  3. Step 3: Cross multiply
    355,634x = 839,465 × 839,465
  4. Step 4: Simplify right side
    355,634x = 704,701,486,225
  5. Step 5: Solve for x
    x = 704,701,486,225/355,634
  6. Step 6: Final answer
    x = 1,981,535.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.