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Finding the Third Proportional to 296,961 and 650,043.75

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Solution

The third proportional to 296,961 and 650,043.75 is: 1,422,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,961 : 650,043.75 = 650,043.75 : x
  2. Step 2: Convert to fraction form
    296,961/650,043.75 = 650,043.75/x
  3. Step 3: Cross multiply
    296,961x = 650,043.75 × 650,043.75
  4. Step 4: Simplify right side
    296,961x = 422,556,876,914.06
  5. Step 5: Solve for x
    x = 422,556,876,914.06/296,961
  6. Step 6: Final answer
    x = 1,422,937.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.