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Finding the Third Proportional to 422,648 and 626,986

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Solution

The third proportional to 422,648 and 626,986 is: 930,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,648 : 626,986 = 626,986 : x
  2. Step 2: Convert to fraction form
    422,648/626,986 = 626,986/x
  3. Step 3: Cross multiply
    422,648x = 626,986 × 626,986
  4. Step 4: Simplify right side
    422,648x = 393,111,444,196
  5. Step 5: Solve for x
    x = 393,111,444,196/422,648
  6. Step 6: Final answer
    x = 930,115.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.