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Finding the Third Proportional to 460,654.50 and 996,765

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Solution

The third proportional to 460,654.50 and 996,765 is: 2,156,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,654.50 : 996,765 = 996,765 : x
  2. Step 2: Convert to fraction form
    460,654.50/996,765 = 996,765/x
  3. Step 3: Cross multiply
    460,654.50x = 996,765 × 996,765
  4. Step 4: Simplify right side
    460,654.50x = 993,540,465,225
  5. Step 5: Solve for x
    x = 993,540,465,225/460,654.50
  6. Step 6: Final answer
    x = 2,156,801.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.