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Finding the Third Proportional to 361,300.50 and 744,468.75

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Solution

The third proportional to 361,300.50 and 744,468.75 is: 1,533,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,300.50 : 744,468.75 = 744,468.75 : x
  2. Step 2: Convert to fraction form
    361,300.50/744,468.75 = 744,468.75/x
  3. Step 3: Cross multiply
    361,300.50x = 744,468.75 × 744,468.75
  4. Step 4: Simplify right side
    361,300.50x = 554,233,719,726.56
  5. Step 5: Solve for x
    x = 554,233,719,726.56/361,300.50
  6. Step 6: Final answer
    x = 1,533,996.55

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.