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Finding the Third Proportional to 376,505.72 and 773,053.88

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Solution

The third proportional to 376,505.72 and 773,053.88 is: 1,587,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,505.72 : 773,053.88 = 773,053.88 : x
  2. Step 2: Convert to fraction form
    376,505.72/773,053.88 = 773,053.88/x
  3. Step 3: Cross multiply
    376,505.72x = 773,053.88 × 773,053.88
  4. Step 4: Simplify right side
    376,505.72x = 597,612,293,652.52
  5. Step 5: Solve for x
    x = 597,612,293,652.52/376,505.72
  6. Step 6: Final answer
    x = 1,587,259.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.