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Finding the Third Proportional to 296,296 and 650,264

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Solution

The third proportional to 296,296 and 650,264 is: 1,427,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,296 : 650,264 = 650,264 : x
  2. Step 2: Convert to fraction form
    296,296/650,264 = 650,264/x
  3. Step 3: Cross multiply
    296,296x = 650,264 × 650,264
  4. Step 4: Simplify right side
    296,296x = 422,843,269,696
  5. Step 5: Solve for x
    x = 422,843,269,696/296,296
  6. Step 6: Final answer
    x = 1,427,097.46

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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.