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Finding the Third Proportional to 273,525.19 and 439,480.69

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Solution

The third proportional to 273,525.19 and 439,480.69 is: 706,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,525.19 : 439,480.69 = 439,480.69 : x
  2. Step 2: Convert to fraction form
    273,525.19/439,480.69 = 439,480.69/x
  3. Step 3: Cross multiply
    273,525.19x = 439,480.69 × 439,480.69
  4. Step 4: Simplify right side
    273,525.19x = 193,143,274,685.47
  5. Step 5: Solve for x
    x = 193,143,274,685.47/273,525.19
  6. Step 6: Final answer
    x = 706,126.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.