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Finding the Third Proportional to 658,278 and 996,651

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Solution

The third proportional to 658,278 and 996,651 is: 1,508,957.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,278 : 996,651 = 996,651 : x
  2. Step 2: Convert to fraction form
    658,278/996,651 = 996,651/x
  3. Step 3: Cross multiply
    658,278x = 996,651 × 996,651
  4. Step 4: Simplify right side
    658,278x = 993,313,215,801
  5. Step 5: Solve for x
    x = 993,313,215,801/658,278
  6. Step 6: Final answer
    x = 1,508,957.03

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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.