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Finding the Third Proportional to 550,999 and 834,817

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Solution

The third proportional to 550,999 and 834,817 is: 1,264,828.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,999 : 834,817 = 834,817 : x
  2. Step 2: Convert to fraction form
    550,999/834,817 = 834,817/x
  3. Step 3: Cross multiply
    550,999x = 834,817 × 834,817
  4. Step 4: Simplify right side
    550,999x = 696,919,423,489
  5. Step 5: Solve for x
    x = 696,919,423,489/550,999
  6. Step 6: Final answer
    x = 1,264,828.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.