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Finding the Third Proportional to 200,349 and 435,474

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Solution

The third proportional to 200,349 and 435,474 is: 946,536.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,349 : 435,474 = 435,474 : x
  2. Step 2: Convert to fraction form
    200,349/435,474 = 435,474/x
  3. Step 3: Cross multiply
    200,349x = 435,474 × 435,474
  4. Step 4: Simplify right side
    200,349x = 189,637,604,676
  5. Step 5: Solve for x
    x = 189,637,604,676/200,349
  6. Step 6: Final answer
    x = 946,536.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.