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Finding the Third Proportional to 620,584.88 and 964,890.56

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Solution

The third proportional to 620,584.88 and 964,890.56 is: 1,500,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,584.88 : 964,890.56 = 964,890.56 : x
  2. Step 2: Convert to fraction form
    620,584.88/964,890.56 = 964,890.56/x
  3. Step 3: Cross multiply
    620,584.88x = 964,890.56 × 964,890.56
  4. Step 4: Simplify right side
    620,584.88x = 931,013,797,601.57
  5. Step 5: Solve for x
    x = 931,013,797,601.57/620,584.88
  6. Step 6: Final answer
    x = 1,500,219.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.