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Finding the Third Proportional to 307,685.25 and 465,628.50

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Solution

The third proportional to 307,685.25 and 465,628.50 is: 704,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,685.25 : 465,628.50 = 465,628.50 : x
  2. Step 2: Convert to fraction form
    307,685.25/465,628.50 = 465,628.50/x
  3. Step 3: Cross multiply
    307,685.25x = 465,628.50 × 465,628.50
  4. Step 4: Simplify right side
    307,685.25x = 216,809,900,012.25
  5. Step 5: Solve for x
    x = 216,809,900,012.25/307,685.25
  6. Step 6: Final answer
    x = 704,648.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.