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Finding the Third Proportional to 665,202 and 996,777

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Solution

The third proportional to 665,202 and 996,777 is: 1,493,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,202 : 996,777 = 996,777 : x
  2. Step 2: Convert to fraction form
    665,202/996,777 = 996,777/x
  3. Step 3: Cross multiply
    665,202x = 996,777 × 996,777
  4. Step 4: Simplify right side
    665,202x = 993,564,387,729
  5. Step 5: Solve for x
    x = 993,564,387,729/665,202
  6. Step 6: Final answer
    x = 1,493,628.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.