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Finding the Third Proportional to 679,570 and 996,505

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Solution

The third proportional to 679,570 and 996,505 is: 1,461,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,570 : 996,505 = 996,505 : x
  2. Step 2: Convert to fraction form
    679,570/996,505 = 996,505/x
  3. Step 3: Cross multiply
    679,570x = 996,505 × 996,505
  4. Step 4: Simplify right side
    679,570x = 993,022,215,025
  5. Step 5: Solve for x
    x = 993,022,215,025/679,570
  6. Step 6: Final answer
    x = 1,461,250.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.