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Finding the Third Proportional to 270,363.25 and 407,615.50

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Solution

The third proportional to 270,363.25 and 407,615.50 is: 614,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,363.25 : 407,615.50 = 407,615.50 : x
  2. Step 2: Convert to fraction form
    270,363.25/407,615.50 = 407,615.50/x
  3. Step 3: Cross multiply
    270,363.25x = 407,615.50 × 407,615.50
  4. Step 4: Simplify right side
    270,363.25x = 166,150,395,840.25
  5. Step 5: Solve for x
    x = 166,150,395,840.25/270,363.25
  6. Step 6: Final answer
    x = 614,545.05

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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.