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Finding the Third Proportional to 275,670.84 and 413,618.91

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Solution

The third proportional to 275,670.84 and 413,618.91 is: 620,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,670.84 : 413,618.91 = 413,618.91 : x
  2. Step 2: Convert to fraction form
    275,670.84/413,618.91 = 413,618.91/x
  3. Step 3: Cross multiply
    275,670.84x = 413,618.91 × 413,618.91
  4. Step 4: Simplify right side
    275,670.84x = 171,080,599,607.45
  5. Step 5: Solve for x
    x = 171,080,599,607.45/275,670.84
  6. Step 6: Final answer
    x = 620,597.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.