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Finding the Third Proportional to 344,978.50 and 529,540

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Solution

The third proportional to 344,978.50 and 529,540 is: 812,840.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,978.50 : 529,540 = 529,540 : x
  2. Step 2: Convert to fraction form
    344,978.50/529,540 = 529,540/x
  3. Step 3: Cross multiply
    344,978.50x = 529,540 × 529,540
  4. Step 4: Simplify right side
    344,978.50x = 280,412,611,600
  5. Step 5: Solve for x
    x = 280,412,611,600/344,978.50
  6. Step 6: Final answer
    x = 812,840.83

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