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Finding the Third Proportional to 549,969 and 793,425

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Solution

The third proportional to 549,969 and 793,425 is: 1,144,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,969 : 793,425 = 793,425 : x
  2. Step 2: Convert to fraction form
    549,969/793,425 = 793,425/x
  3. Step 3: Cross multiply
    549,969x = 793,425 × 793,425
  4. Step 4: Simplify right side
    549,969x = 629,523,230,625
  5. Step 5: Solve for x
    x = 629,523,230,625/549,969
  6. Step 6: Final answer
    x = 1,144,652.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.