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Finding the Third Proportional to 316,508 and 422,804

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Solution

The third proportional to 316,508 and 422,804 is: 564,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,508 : 422,804 = 422,804 : x
  2. Step 2: Convert to fraction form
    316,508/422,804 = 422,804/x
  3. Step 3: Cross multiply
    316,508x = 422,804 × 422,804
  4. Step 4: Simplify right side
    316,508x = 178,763,222,416
  5. Step 5: Solve for x
    x = 178,763,222,416/316,508
  6. Step 6: Final answer
    x = 564,798.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.