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Finding the Third Proportional to 376,045.88 and 582,530.91

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Solution

The third proportional to 376,045.88 and 582,530.91 is: 902,395.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,045.88 : 582,530.91 = 582,530.91 : x
  2. Step 2: Convert to fraction form
    376,045.88/582,530.91 = 582,530.91/x
  3. Step 3: Cross multiply
    376,045.88x = 582,530.91 × 582,530.91
  4. Step 4: Simplify right side
    376,045.88x = 339,342,256,736.45
  5. Step 5: Solve for x
    x = 339,342,256,736.45/376,045.88
  6. Step 6: Final answer
    x = 902,395.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.