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Finding the Third Proportional to 338,929 and 722,894

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Solution

The third proportional to 338,929 and 722,894 is: 1,541,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,929 : 722,894 = 722,894 : x
  2. Step 2: Convert to fraction form
    338,929/722,894 = 722,894/x
  3. Step 3: Cross multiply
    338,929x = 722,894 × 722,894
  4. Step 4: Simplify right side
    338,929x = 522,575,735,236
  5. Step 5: Solve for x
    x = 522,575,735,236/338,929
  6. Step 6: Final answer
    x = 1,541,844.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.