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Finding the Third Proportional to 296,265 and 656,589

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Solution

The third proportional to 296,265 and 656,589 is: 1,455,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,265 : 656,589 = 656,589 : x
  2. Step 2: Convert to fraction form
    296,265/656,589 = 656,589/x
  3. Step 3: Cross multiply
    296,265x = 656,589 × 656,589
  4. Step 4: Simplify right side
    296,265x = 431,109,114,921
  5. Step 5: Solve for x
    x = 431,109,114,921/296,265
  6. Step 6: Final answer
    x = 1,455,146.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.