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Finding the Third Proportional to 601,564.50 and 1,337,611.50

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Solution

The third proportional to 601,564.50 and 1,337,611.50 is: 2,974,252.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,564.50 : 1,337,611.50 = 1,337,611.50 : x
  2. Step 2: Convert to fraction form
    601,564.50/1,337,611.50 = 1,337,611.50/x
  3. Step 3: Cross multiply
    601,564.50x = 1,337,611.50 × 1,337,611.50
  4. Step 4: Simplify right side
    601,564.50x = 1,789,204,524,932.25
  5. Step 5: Solve for x
    x = 1,789,204,524,932.25/601,564.50
  6. Step 6: Final answer
    x = 2,974,252.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.