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Finding the Third Proportional to 295,638 and 450,834

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Solution

The third proportional to 295,638 and 450,834 is: 687,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,638 : 450,834 = 450,834 : x
  2. Step 2: Convert to fraction form
    295,638/450,834 = 450,834/x
  3. Step 3: Cross multiply
    295,638x = 450,834 × 450,834
  4. Step 4: Simplify right side
    295,638x = 203,251,295,556
  5. Step 5: Solve for x
    x = 203,251,295,556/295,638
  6. Step 6: Final answer
    x = 687,500.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.