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Finding the Third Proportional to 323,668 and 507,742

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Solution

The third proportional to 323,668 and 507,742 is: 796,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,668 : 507,742 = 507,742 : x
  2. Step 2: Convert to fraction form
    323,668/507,742 = 507,742/x
  3. Step 3: Cross multiply
    323,668x = 507,742 × 507,742
  4. Step 4: Simplify right side
    323,668x = 257,801,938,564
  5. Step 5: Solve for x
    x = 257,801,938,564/323,668
  6. Step 6: Final answer
    x = 796,501.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.