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Finding the Third Proportional to 551,804 and 854,758

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Solution

The third proportional to 551,804 and 854,758 is: 1,324,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,804 : 854,758 = 854,758 : x
  2. Step 2: Convert to fraction form
    551,804/854,758 = 854,758/x
  3. Step 3: Cross multiply
    551,804x = 854,758 × 854,758
  4. Step 4: Simplify right side
    551,804x = 730,611,238,564
  5. Step 5: Solve for x
    x = 730,611,238,564/551,804
  6. Step 6: Final answer
    x = 1,324,041.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.