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Finding the Third Proportional to 451,702.50 and 982,137

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Solution

The third proportional to 451,702.50 and 982,137 is: 2,135,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,702.50 : 982,137 = 982,137 : x
  2. Step 2: Convert to fraction form
    451,702.50/982,137 = 982,137/x
  3. Step 3: Cross multiply
    451,702.50x = 982,137 × 982,137
  4. Step 4: Simplify right side
    451,702.50x = 964,593,086,769
  5. Step 5: Solve for x
    x = 964,593,086,769/451,702.50
  6. Step 6: Final answer
    x = 2,135,461.03

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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.