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Finding the Third Proportional to 175,761 and 414,733

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Solution

The third proportional to 175,761 and 414,733 is: 978,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,761 : 414,733 = 414,733 : x
  2. Step 2: Convert to fraction form
    175,761/414,733 = 414,733/x
  3. Step 3: Cross multiply
    175,761x = 414,733 × 414,733
  4. Step 4: Simplify right side
    175,761x = 172,003,461,289
  5. Step 5: Solve for x
    x = 172,003,461,289/175,761
  6. Step 6: Final answer
    x = 978,621.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.