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Finding the Third Proportional to 649,104 and 998,328

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Solution

The third proportional to 649,104 and 998,328 is: 1,535,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,104 : 998,328 = 998,328 : x
  2. Step 2: Convert to fraction form
    649,104/998,328 = 998,328/x
  3. Step 3: Cross multiply
    649,104x = 998,328 × 998,328
  4. Step 4: Simplify right side
    649,104x = 996,658,795,584
  5. Step 5: Solve for x
    x = 996,658,795,584/649,104
  6. Step 6: Final answer
    x = 1,535,437.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.