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Finding the Third Proportional to 350,524.13 and 549,163.13

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Solution

The third proportional to 350,524.13 and 549,163.13 is: 860,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,524.13 : 549,163.13 = 549,163.13 : x
  2. Step 2: Convert to fraction form
    350,524.13/549,163.13 = 549,163.13/x
  3. Step 3: Cross multiply
    350,524.13x = 549,163.13 × 549,163.13
  4. Step 4: Simplify right side
    350,524.13x = 301,580,137,859.77
  5. Step 5: Solve for x
    x = 301,580,137,859.77/350,524.13
  6. Step 6: Final answer
    x = 860,369.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.