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Finding the Third Proportional to 641,485.83 and 896,836.59

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Solution

The third proportional to 641,485.83 and 896,836.59 is: 1,253,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,485.83 : 896,836.59 = 896,836.59 : x
  2. Step 2: Convert to fraction form
    641,485.83/896,836.59 = 896,836.59/x
  3. Step 3: Cross multiply
    641,485.83x = 896,836.59 × 896,836.59
  4. Step 4: Simplify right side
    641,485.83x = 804,315,865,379.29
  5. Step 5: Solve for x
    x = 804,315,865,379.29/641,485.83
  6. Step 6: Final answer
    x = 1,253,832.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.