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Finding the Third Proportional to 416,346 and 811,956

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Solution

The third proportional to 416,346 and 811,956 is: 1,583,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,346 : 811,956 = 811,956 : x
  2. Step 2: Convert to fraction form
    416,346/811,956 = 811,956/x
  3. Step 3: Cross multiply
    416,346x = 811,956 × 811,956
  4. Step 4: Simplify right side
    416,346x = 659,272,545,936
  5. Step 5: Solve for x
    x = 659,272,545,936/416,346
  6. Step 6: Final answer
    x = 1,583,472.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.