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Finding the Third Proportional to 313,114.50 and 670,501.13

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Solution

The third proportional to 313,114.50 and 670,501.13 is: 1,435,806.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,114.50 : 670,501.13 = 670,501.13 : x
  2. Step 2: Convert to fraction form
    313,114.50/670,501.13 = 670,501.13/x
  3. Step 3: Cross multiply
    313,114.50x = 670,501.13 × 670,501.13
  4. Step 4: Simplify right side
    313,114.50x = 449,571,758,626.27
  5. Step 5: Solve for x
    x = 449,571,758,626.27/313,114.50
  6. Step 6: Final answer
    x = 1,435,806.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.