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Finding the Third Proportional to 549,483.75 and 854,160.19

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Solution

The third proportional to 549,483.75 and 854,160.19 is: 1,327,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,483.75 : 854,160.19 = 854,160.19 : x
  2. Step 2: Convert to fraction form
    549,483.75/854,160.19 = 854,160.19/x
  3. Step 3: Cross multiply
    549,483.75x = 854,160.19 × 854,160.19
  4. Step 4: Simplify right side
    549,483.75x = 729,589,625,910.04
  5. Step 5: Solve for x
    x = 729,589,625,910.04/549,483.75
  6. Step 6: Final answer
    x = 1,327,772.89

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