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Finding the Third Proportional to 367,584 and 829,941

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Solution

The third proportional to 367,584 and 829,941 is: 1,873,863.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,584 : 829,941 = 829,941 : x
  2. Step 2: Convert to fraction form
    367,584/829,941 = 829,941/x
  3. Step 3: Cross multiply
    367,584x = 829,941 × 829,941
  4. Step 4: Simplify right side
    367,584x = 688,802,063,481
  5. Step 5: Solve for x
    x = 688,802,063,481/367,584
  6. Step 6: Final answer
    x = 1,873,863.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.