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Finding the Third Proportional to 436,206 and 639,908

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Solution

The third proportional to 436,206 and 639,908 is: 938,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,206 : 639,908 = 639,908 : x
  2. Step 2: Convert to fraction form
    436,206/639,908 = 639,908/x
  3. Step 3: Cross multiply
    436,206x = 639,908 × 639,908
  4. Step 4: Simplify right side
    436,206x = 409,482,248,464
  5. Step 5: Solve for x
    x = 409,482,248,464/436,206
  6. Step 6: Final answer
    x = 938,735.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.