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Finding the Third Proportional to 499,000.50 and 763,467

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Solution

The third proportional to 499,000.50 and 763,467 is: 1,168,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,000.50 : 763,467 = 763,467 : x
  2. Step 2: Convert to fraction form
    499,000.50/763,467 = 763,467/x
  3. Step 3: Cross multiply
    499,000.50x = 763,467 × 763,467
  4. Step 4: Simplify right side
    499,000.50x = 582,881,860,089
  5. Step 5: Solve for x
    x = 582,881,860,089/499,000.50
  6. Step 6: Final answer
    x = 1,168,098.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.