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Finding the Third Proportional to 457,764.30 and 996,874.75

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Solution

The third proportional to 457,764.30 and 996,874.75 is: 2,170,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,764.30 : 996,874.75 = 996,874.75 : x
  2. Step 2: Convert to fraction form
    457,764.30/996,874.75 = 996,874.75/x
  3. Step 3: Cross multiply
    457,764.30x = 996,874.75 × 996,874.75
  4. Step 4: Simplify right side
    457,764.30x = 993,759,271,081.60
  5. Step 5: Solve for x
    x = 993,759,271,081.60/457,764.30
  6. Step 6: Final answer
    x = 2,170,897.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.