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Finding the Third Proportional to 296,449.88 and 659,228.63

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Solution

The third proportional to 296,449.88 and 659,228.63 is: 1,465,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,449.88 : 659,228.63 = 659,228.63 : x
  2. Step 2: Convert to fraction form
    296,449.88/659,228.63 = 659,228.63/x
  3. Step 3: Cross multiply
    296,449.88x = 659,228.63 × 659,228.63
  4. Step 4: Simplify right side
    296,449.88x = 434,582,380,019.39
  5. Step 5: Solve for x
    x = 434,582,380,019.39/296,449.88
  6. Step 6: Final answer
    x = 1,465,955.69

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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.