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Finding the Third Proportional to 372,490.88 and 829,296

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Solution

The third proportional to 372,490.88 and 829,296 is: 1,846,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,490.88 : 829,296 = 829,296 : x
  2. Step 2: Convert to fraction form
    372,490.88/829,296 = 829,296/x
  3. Step 3: Cross multiply
    372,490.88x = 829,296 × 829,296
  4. Step 4: Simplify right side
    372,490.88x = 687,731,855,616
  5. Step 5: Solve for x
    x = 687,731,855,616/372,490.88
  6. Step 6: Final answer
    x = 1,846,305.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.