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Finding the Third Proportional to 200,044 and 434,434

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Solution

The third proportional to 200,044 and 434,434 is: 943,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,044 : 434,434 = 434,434 : x
  2. Step 2: Convert to fraction form
    200,044/434,434 = 434,434/x
  3. Step 3: Cross multiply
    200,044x = 434,434 × 434,434
  4. Step 4: Simplify right side
    200,044x = 188,732,900,356
  5. Step 5: Solve for x
    x = 188,732,900,356/200,044
  6. Step 6: Final answer
    x = 943,456.94

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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.