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Finding the Third Proportional to 529,000.50 and 743,325

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Solution

The third proportional to 529,000.50 and 743,325 is: 1,044,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,000.50 : 743,325 = 743,325 : x
  2. Step 2: Convert to fraction form
    529,000.50/743,325 = 743,325/x
  3. Step 3: Cross multiply
    529,000.50x = 743,325 × 743,325
  4. Step 4: Simplify right side
    529,000.50x = 552,532,055,625
  5. Step 5: Solve for x
    x = 552,532,055,625/529,000.50
  6. Step 6: Final answer
    x = 1,044,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.