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Finding the Third Proportional to 589,396.50 and 901,014.75

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Solution

The third proportional to 589,396.50 and 901,014.75 is: 1,377,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,396.50 : 901,014.75 = 901,014.75 : x
  2. Step 2: Convert to fraction form
    589,396.50/901,014.75 = 901,014.75/x
  3. Step 3: Cross multiply
    589,396.50x = 901,014.75 × 901,014.75
  4. Step 4: Simplify right side
    589,396.50x = 811,827,579,717.56
  5. Step 5: Solve for x
    x = 811,827,579,717.56/589,396.50
  6. Step 6: Final answer
    x = 1,377,387.85

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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.