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Finding the Third Proportional to 377,012 and 807,993

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Solution

The third proportional to 377,012 and 807,993 is: 1,731,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,012 : 807,993 = 807,993 : x
  2. Step 2: Convert to fraction form
    377,012/807,993 = 807,993/x
  3. Step 3: Cross multiply
    377,012x = 807,993 × 807,993
  4. Step 4: Simplify right side
    377,012x = 652,852,688,049
  5. Step 5: Solve for x
    x = 652,852,688,049/377,012
  6. Step 6: Final answer
    x = 1,731,649.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.