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Finding the Third Proportional to 457,832.25 and 991,935

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Solution

The third proportional to 457,832.25 and 991,935 is: 2,149,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,832.25 : 991,935 = 991,935 : x
  2. Step 2: Convert to fraction form
    457,832.25/991,935 = 991,935/x
  3. Step 3: Cross multiply
    457,832.25x = 991,935 × 991,935
  4. Step 4: Simplify right side
    457,832.25x = 983,935,044,225
  5. Step 5: Solve for x
    x = 983,935,044,225/457,832.25
  6. Step 6: Final answer
    x = 2,149,116.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.