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Finding the Third Proportional to 660,674 and 997,203

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Solution

The third proportional to 660,674 and 997,203 is: 1,505,150.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,674 : 997,203 = 997,203 : x
  2. Step 2: Convert to fraction form
    660,674/997,203 = 997,203/x
  3. Step 3: Cross multiply
    660,674x = 997,203 × 997,203
  4. Step 4: Simplify right side
    660,674x = 994,413,823,209
  5. Step 5: Solve for x
    x = 994,413,823,209/660,674
  6. Step 6: Final answer
    x = 1,505,150.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.