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Finding the Third Proportional to 364,222.50 and 548,763.75

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Solution

The third proportional to 364,222.50 and 548,763.75 is: 826,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,222.50 : 548,763.75 = 548,763.75 : x
  2. Step 2: Convert to fraction form
    364,222.50/548,763.75 = 548,763.75/x
  3. Step 3: Cross multiply
    364,222.50x = 548,763.75 × 548,763.75
  4. Step 4: Simplify right side
    364,222.50x = 301,141,653,314.06
  5. Step 5: Solve for x
    x = 301,141,653,314.06/364,222.50
  6. Step 6: Final answer
    x = 826,806.84

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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.