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Finding the Third Proportional to 597,415.50 and 1,290,238.88

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Solution

The third proportional to 597,415.50 and 1,290,238.88 is: 2,786,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,415.50 : 1,290,238.88 = 1,290,238.88 : x
  2. Step 2: Convert to fraction form
    597,415.50/1,290,238.88 = 1,290,238.88/x
  3. Step 3: Cross multiply
    597,415.50x = 1,290,238.88 × 1,290,238.88
  4. Step 4: Simplify right side
    597,415.50x = 1,664,716,354,561.27
  5. Step 5: Solve for x
    x = 1,664,716,354,561.27/597,415.50
  6. Step 6: Final answer
    x = 2,786,530.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.