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Finding the Third Proportional to 465,555 and 743,836.50

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Solution

The third proportional to 465,555 and 743,836.50 is: 1,188,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,555 : 743,836.50 = 743,836.50 : x
  2. Step 2: Convert to fraction form
    465,555/743,836.50 = 743,836.50/x
  3. Step 3: Cross multiply
    465,555x = 743,836.50 × 743,836.50
  4. Step 4: Simplify right side
    465,555x = 553,292,738,732.25
  5. Step 5: Solve for x
    x = 553,292,738,732.25/465,555
  6. Step 6: Final answer
    x = 1,188,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.