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Finding the Third Proportional to 457,695 and 996,757.50

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Solution

The third proportional to 457,695 and 996,757.50 is: 2,170,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,695 : 996,757.50 = 996,757.50 : x
  2. Step 2: Convert to fraction form
    457,695/996,757.50 = 996,757.50/x
  3. Step 3: Cross multiply
    457,695x = 996,757.50 × 996,757.50
  4. Step 4: Simplify right side
    457,695x = 993,525,513,806.25
  5. Step 5: Solve for x
    x = 993,525,513,806.25/457,695
  6. Step 6: Final answer
    x = 2,170,715.24

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