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Finding the Third Proportional to 385,766 and 834,956

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Solution

The third proportional to 385,766 and 834,956 is: 1,807,187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,766 : 834,956 = 834,956 : x
  2. Step 2: Convert to fraction form
    385,766/834,956 = 834,956/x
  3. Step 3: Cross multiply
    385,766x = 834,956 × 834,956
  4. Step 4: Simplify right side
    385,766x = 697,151,521,936
  5. Step 5: Solve for x
    x = 697,151,521,936/385,766
  6. Step 6: Final answer
    x = 1,807,187.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.