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Finding the Third Proportional to 557,354 and 854,019

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Solution

The third proportional to 557,354 and 854,019 is: 1,308,591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,354 : 854,019 = 854,019 : x
  2. Step 2: Convert to fraction form
    557,354/854,019 = 854,019/x
  3. Step 3: Cross multiply
    557,354x = 854,019 × 854,019
  4. Step 4: Simplify right side
    557,354x = 729,348,452,361
  5. Step 5: Solve for x
    x = 729,348,452,361/557,354
  6. Step 6: Final answer
    x = 1,308,591.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.