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Finding the Third Proportional to 658,284 and 996,661

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Solution

The third proportional to 658,284 and 996,661 is: 1,508,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,284 : 996,661 = 996,661 : x
  2. Step 2: Convert to fraction form
    658,284/996,661 = 996,661/x
  3. Step 3: Cross multiply
    658,284x = 996,661 × 996,661
  4. Step 4: Simplify right side
    658,284x = 993,333,148,921
  5. Step 5: Solve for x
    x = 993,333,148,921/658,284
  6. Step 6: Final answer
    x = 1,508,973.56

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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.