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Finding the Third Proportional to 549,300 and 850,086

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Solution

The third proportional to 549,300 and 850,086 is: 1,315,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,300 : 850,086 = 850,086 : x
  2. Step 2: Convert to fraction form
    549,300/850,086 = 850,086/x
  3. Step 3: Cross multiply
    549,300x = 850,086 × 850,086
  4. Step 4: Simplify right side
    549,300x = 722,646,207,396
  5. Step 5: Solve for x
    x = 722,646,207,396/549,300
  6. Step 6: Final answer
    x = 1,315,576.57

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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.