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Finding the Third Proportional to 296,766 and 628,844

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Solution

The third proportional to 296,766 and 628,844 is: 1,332,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,766 : 628,844 = 628,844 : x
  2. Step 2: Convert to fraction form
    296,766/628,844 = 628,844/x
  3. Step 3: Cross multiply
    296,766x = 628,844 × 628,844
  4. Step 4: Simplify right side
    296,766x = 395,444,776,336
  5. Step 5: Solve for x
    x = 395,444,776,336/296,766
  6. Step 6: Final answer
    x = 1,332,513.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.