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Finding the Third Proportional to 289,502 and 637,897

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Solution

The third proportional to 289,502 and 637,897 is: 1,405,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,502 : 637,897 = 637,897 : x
  2. Step 2: Convert to fraction form
    289,502/637,897 = 637,897/x
  3. Step 3: Cross multiply
    289,502x = 637,897 × 637,897
  4. Step 4: Simplify right side
    289,502x = 406,912,582,609
  5. Step 5: Solve for x
    x = 406,912,582,609/289,502
  6. Step 6: Final answer
    x = 1,405,560.52

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Why These Related Problems?

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