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Finding the Third Proportional to 603,247.50 and 884,573.16

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Solution

The third proportional to 603,247.50 and 884,573.16 is: 1,297,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,247.50 : 884,573.16 = 884,573.16 : x
  2. Step 2: Convert to fraction form
    603,247.50/884,573.16 = 884,573.16/x
  3. Step 3: Cross multiply
    603,247.50x = 884,573.16 × 884,573.16
  4. Step 4: Simplify right side
    603,247.50x = 782,469,668,758.09
  5. Step 5: Solve for x
    x = 782,469,668,758.09/603,247.50
  6. Step 6: Final answer
    x = 1,297,095.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.