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Finding the Third Proportional to 578,274.38 and 1,253,080.50

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Solution

The third proportional to 578,274.38 and 1,253,080.50 is: 2,715,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,274.38 : 1,253,080.50 = 1,253,080.50 : x
  2. Step 2: Convert to fraction form
    578,274.38/1,253,080.50 = 1,253,080.50/x
  3. Step 3: Cross multiply
    578,274.38x = 1,253,080.50 × 1,253,080.50
  4. Step 4: Simplify right side
    578,274.38x = 1,570,210,739,480.25
  5. Step 5: Solve for x
    x = 1,570,210,739,480.25/578,274.38
  6. Step 6: Final answer
    x = 2,715,338.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.