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Finding the Third Proportional to 283,568 and 623,044

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Solution

The third proportional to 283,568 and 623,044 is: 1,368,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,568 : 623,044 = 623,044 : x
  2. Step 2: Convert to fraction form
    283,568/623,044 = 623,044/x
  3. Step 3: Cross multiply
    283,568x = 623,044 × 623,044
  4. Step 4: Simplify right side
    283,568x = 388,183,825,936
  5. Step 5: Solve for x
    x = 388,183,825,936/283,568
  6. Step 6: Final answer
    x = 1,368,926.77

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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.