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Finding the Third Proportional to 313,131 and 738,583.50

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Solution

The third proportional to 313,131 and 738,583.50 is: 1,742,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,131 : 738,583.50 = 738,583.50 : x
  2. Step 2: Convert to fraction form
    313,131/738,583.50 = 738,583.50/x
  3. Step 3: Cross multiply
    313,131x = 738,583.50 × 738,583.50
  4. Step 4: Simplify right side
    313,131x = 545,505,586,472.25
  5. Step 5: Solve for x
    x = 545,505,586,472.25/313,131
  6. Step 6: Final answer
    x = 1,742,100.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.