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Finding the Third Proportional to 289,508 and 637,914

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Solution

The third proportional to 289,508 and 637,914 is: 1,405,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,508 : 637,914 = 637,914 : x
  2. Step 2: Convert to fraction form
    289,508/637,914 = 637,914/x
  3. Step 3: Cross multiply
    289,508x = 637,914 × 637,914
  4. Step 4: Simplify right side
    289,508x = 406,934,271,396
  5. Step 5: Solve for x
    x = 406,934,271,396/289,508
  6. Step 6: Final answer
    x = 1,405,606.31

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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.