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Finding the Third Proportional to 296,709 and 659,757

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Solution

The third proportional to 296,709 and 659,757 is: 1,467,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,709 : 659,757 = 659,757 : x
  2. Step 2: Convert to fraction form
    296,709/659,757 = 659,757/x
  3. Step 3: Cross multiply
    296,709x = 659,757 × 659,757
  4. Step 4: Simplify right side
    296,709x = 435,279,299,049
  5. Step 5: Solve for x
    x = 435,279,299,049/296,709
  6. Step 6: Final answer
    x = 1,467,024.25

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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.