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Finding the Third Proportional to 488,234.50 and 731,873

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Solution

The third proportional to 488,234.50 and 731,873 is: 1,097,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,234.50 : 731,873 = 731,873 : x
  2. Step 2: Convert to fraction form
    488,234.50/731,873 = 731,873/x
  3. Step 3: Cross multiply
    488,234.50x = 731,873 × 731,873
  4. Step 4: Simplify right side
    488,234.50x = 535,638,088,129
  5. Step 5: Solve for x
    x = 535,638,088,129/488,234.50
  6. Step 6: Final answer
    x = 1,097,091.84

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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.