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Finding the Third Proportional to 589,723.88 and 901,731.38

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Solution

The third proportional to 589,723.88 and 901,731.38 is: 1,378,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,723.88 : 901,731.38 = 901,731.38 : x
  2. Step 2: Convert to fraction form
    589,723.88/901,731.38 = 901,731.38/x
  3. Step 3: Cross multiply
    589,723.88x = 901,731.38 × 901,731.38
  4. Step 4: Simplify right side
    589,723.88x = 813,119,472,659.39
  5. Step 5: Solve for x
    x = 813,119,472,659.39/589,723.88
  6. Step 6: Final answer
    x = 1,378,813.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.