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Finding the Third Proportional to 658,500 and 996,930

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Solution

The third proportional to 658,500 and 996,930 is: 1,509,292.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,500 : 996,930 = 996,930 : x
  2. Step 2: Convert to fraction form
    658,500/996,930 = 996,930/x
  3. Step 3: Cross multiply
    658,500x = 996,930 × 996,930
  4. Step 4: Simplify right side
    658,500x = 993,869,424,900
  5. Step 5: Solve for x
    x = 993,869,424,900/658,500
  6. Step 6: Final answer
    x = 1,509,292.98

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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.