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Finding the Third Proportional to 383,103 and 579,987

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Solution

The third proportional to 383,103 and 579,987 is: 878,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,103 : 579,987 = 579,987 : x
  2. Step 2: Convert to fraction form
    383,103/579,987 = 579,987/x
  3. Step 3: Cross multiply
    383,103x = 579,987 × 579,987
  4. Step 4: Simplify right side
    383,103x = 336,384,920,169
  5. Step 5: Solve for x
    x = 336,384,920,169/383,103
  6. Step 6: Final answer
    x = 878,053.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.