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Finding the Third Proportional to 338,894 and 733,577

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Solution

The third proportional to 338,894 and 733,577 is: 1,587,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894 : 733,577 = 733,577 : x
  2. Step 2: Convert to fraction form
    338,894/733,577 = 733,577/x
  3. Step 3: Cross multiply
    338,894x = 733,577 × 733,577
  4. Step 4: Simplify right side
    338,894x = 538,135,214,929
  5. Step 5: Solve for x
    x = 538,135,214,929/338,894
  6. Step 6: Final answer
    x = 1,587,916.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.