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Finding the Third Proportional to 375,961 and 617,182

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Solution

The third proportional to 375,961 and 617,182 is: 1,013,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,961 : 617,182 = 617,182 : x
  2. Step 2: Convert to fraction form
    375,961/617,182 = 617,182/x
  3. Step 3: Cross multiply
    375,961x = 617,182 × 617,182
  4. Step 4: Simplify right side
    375,961x = 380,913,621,124
  5. Step 5: Solve for x
    x = 380,913,621,124/375,961
  6. Step 6: Final answer
    x = 1,013,173.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.