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Finding the Third Proportional to 307,240.50 and 670,762

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Solution

The third proportional to 307,240.50 and 670,762 is: 1,464,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,240.50 : 670,762 = 670,762 : x
  2. Step 2: Convert to fraction form
    307,240.50/670,762 = 670,762/x
  3. Step 3: Cross multiply
    307,240.50x = 670,762 × 670,762
  4. Step 4: Simplify right side
    307,240.50x = 449,921,660,644
  5. Step 5: Solve for x
    x = 449,921,660,644/307,240.50
  6. Step 6: Final answer
    x = 1,464,395.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.