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Finding the Third Proportional to 364,297.50 and 548,211.38

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Solution

The third proportional to 364,297.50 and 548,211.38 is: 824,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,297.50 : 548,211.38 = 548,211.38 : x
  2. Step 2: Convert to fraction form
    364,297.50/548,211.38 = 548,211.38/x
  3. Step 3: Cross multiply
    364,297.50x = 548,211.38 × 548,211.38
  4. Step 4: Simplify right side
    364,297.50x = 300,535,711,679.39
  5. Step 5: Solve for x
    x = 300,535,711,679.39/364,297.50
  6. Step 6: Final answer
    x = 824,973.30

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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.