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Finding the Third Proportional to 641,485.83 and 896,835.80

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Solution

The third proportional to 641,485.83 and 896,835.80 is: 1,253,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,485.83 : 896,835.80 = 896,835.80 : x
  2. Step 2: Convert to fraction form
    641,485.83/896,835.80 = 896,835.80/x
  3. Step 3: Cross multiply
    641,485.83x = 896,835.80 × 896,835.80
  4. Step 4: Simplify right side
    641,485.83x = 804,314,446,556.42
  5. Step 5: Solve for x
    x = 804,314,446,556.42/641,485.83
  6. Step 6: Final answer
    x = 1,253,830.42

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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.