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Finding the Third Proportional to 365,483.25 and 548,224.88

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Solution

The third proportional to 365,483.25 and 548,224.88 is: 822,337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,483.25 : 548,224.88 = 548,224.88 : x
  2. Step 2: Convert to fraction form
    365,483.25/548,224.88 = 548,224.88/x
  3. Step 3: Cross multiply
    365,483.25x = 548,224.88 × 548,224.88
  4. Step 4: Simplify right side
    365,483.25x = 300,550,513,568.77
  5. Step 5: Solve for x
    x = 300,550,513,568.77/365,483.25
  6. Step 6: Final answer
    x = 822,337.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.