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Finding the Third Proportional to 283,626 and 598,234.50

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Solution

The third proportional to 283,626 and 598,234.50 is: 1,261,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,626 : 598,234.50 = 598,234.50 : x
  2. Step 2: Convert to fraction form
    283,626/598,234.50 = 598,234.50/x
  3. Step 3: Cross multiply
    283,626x = 598,234.50 × 598,234.50
  4. Step 4: Simplify right side
    283,626x = 357,884,516,990.25
  5. Step 5: Solve for x
    x = 357,884,516,990.25/283,626
  6. Step 6: Final answer
    x = 1,261,818.44

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.