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Finding the Third Proportional to 551,000 and 834,818

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Solution

The third proportional to 551,000 and 834,818 is: 1,264,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,000 : 834,818 = 834,818 : x
  2. Step 2: Convert to fraction form
    551,000/834,818 = 834,818/x
  3. Step 3: Cross multiply
    551,000x = 834,818 × 834,818
  4. Step 4: Simplify right side
    551,000x = 696,921,093,124
  5. Step 5: Solve for x
    x = 696,921,093,124/551,000
  6. Step 6: Final answer
    x = 1,264,829.57

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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.