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Finding the Third Proportional to 283,572 and 623,052

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Solution

The third proportional to 283,572 and 623,052 is: 1,368,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,572 : 623,052 = 623,052 : x
  2. Step 2: Convert to fraction form
    283,572/623,052 = 623,052/x
  3. Step 3: Cross multiply
    283,572x = 623,052 × 623,052
  4. Step 4: Simplify right side
    283,572x = 388,193,794,704
  5. Step 5: Solve for x
    x = 388,193,794,704/283,572
  6. Step 6: Final answer
    x = 1,368,942.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.