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Finding the Third Proportional to 296,262 and 656,583.75

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Solution

The third proportional to 296,262 and 656,583.75 is: 1,455,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,262 : 656,583.75 = 656,583.75 : x
  2. Step 2: Convert to fraction form
    296,262/656,583.75 = 656,583.75/x
  3. Step 3: Cross multiply
    296,262x = 656,583.75 × 656,583.75
  4. Step 4: Simplify right side
    296,262x = 431,102,220,764.06
  5. Step 5: Solve for x
    x = 431,102,220,764.06/296,262
  6. Step 6: Final answer
    x = 1,455,138.43

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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.