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Finding the Third Proportional to 296,739 and 659,817

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Solution

The third proportional to 296,739 and 659,817 is: 1,467,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,739 : 659,817 = 659,817 : x
  2. Step 2: Convert to fraction form
    296,739/659,817 = 659,817/x
  3. Step 3: Cross multiply
    296,739x = 659,817 × 659,817
  4. Step 4: Simplify right side
    296,739x = 435,358,473,489
  5. Step 5: Solve for x
    x = 435,358,473,489/296,739
  6. Step 6: Final answer
    x = 1,467,142.75

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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.