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Finding the Third Proportional to 375,982 and 782,947

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Solution

The third proportional to 375,982 and 782,947 is: 1,630,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,982 : 782,947 = 782,947 : x
  2. Step 2: Convert to fraction form
    375,982/782,947 = 782,947/x
  3. Step 3: Cross multiply
    375,982x = 782,947 × 782,947
  4. Step 4: Simplify right side
    375,982x = 613,006,004,809
  5. Step 5: Solve for x
    x = 613,006,004,809/375,982
  6. Step 6: Final answer
    x = 1,630,413.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.