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Finding the Third Proportional to 588,469.50 and 909,319.50

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Solution

The third proportional to 588,469.50 and 909,319.50 is: 1,405,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,469.50 : 909,319.50 = 909,319.50 : x
  2. Step 2: Convert to fraction form
    588,469.50/909,319.50 = 909,319.50/x
  3. Step 3: Cross multiply
    588,469.50x = 909,319.50 × 909,319.50
  4. Step 4: Simplify right side
    588,469.50x = 826,861,953,080.25
  5. Step 5: Solve for x
    x = 826,861,953,080.25/588,469.50
  6. Step 6: Final answer
    x = 1,405,105.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.