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Finding the Third Proportional to 289,498 and 637,893

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Solution

The third proportional to 289,498 and 637,893 is: 1,405,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,498 : 637,893 = 637,893 : x
  2. Step 2: Convert to fraction form
    289,498/637,893 = 637,893/x
  3. Step 3: Cross multiply
    289,498x = 637,893 × 637,893
  4. Step 4: Simplify right side
    289,498x = 406,907,479,449
  5. Step 5: Solve for x
    x = 406,907,479,449/289,498
  6. Step 6: Final answer
    x = 1,405,562.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.