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Finding the Third Proportional to 372,495 and 829,302

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Solution

The third proportional to 372,495 and 829,302 is: 1,846,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,495 : 829,302 = 829,302 : x
  2. Step 2: Convert to fraction form
    372,495/829,302 = 829,302/x
  3. Step 3: Cross multiply
    372,495x = 829,302 × 829,302
  4. Step 4: Simplify right side
    372,495x = 687,741,807,204
  5. Step 5: Solve for x
    x = 687,741,807,204/372,495
  6. Step 6: Final answer
    x = 1,846,311.51

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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.