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Finding the Third Proportional to 283,892 and 623,080

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Solution

The third proportional to 283,892 and 623,080 is: 1,367,522.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,892 : 623,080 = 623,080 : x
  2. Step 2: Convert to fraction form
    283,892/623,080 = 623,080/x
  3. Step 3: Cross multiply
    283,892x = 623,080 × 623,080
  4. Step 4: Simplify right side
    283,892x = 388,228,686,400
  5. Step 5: Solve for x
    x = 388,228,686,400/283,892
  6. Step 6: Final answer
    x = 1,367,522.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.