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Finding the Third Proportional to 488,272.50 and 751,362.75

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Solution

The third proportional to 488,272.50 and 751,362.75 is: 1,156,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,272.50 : 751,362.75 = 751,362.75 : x
  2. Step 2: Convert to fraction form
    488,272.50/751,362.75 = 751,362.75/x
  3. Step 3: Cross multiply
    488,272.50x = 751,362.75 × 751,362.75
  4. Step 4: Simplify right side
    488,272.50x = 564,545,982,087.56
  5. Step 5: Solve for x
    x = 564,545,982,087.56/488,272.50
  6. Step 6: Final answer
    x = 1,156,210.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.