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Finding the Third Proportional to 323,593 and 506,515

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Solution

The third proportional to 323,593 and 506,515 is: 792,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,593 : 506,515 = 506,515 : x
  2. Step 2: Convert to fraction form
    323,593/506,515 = 506,515/x
  3. Step 3: Cross multiply
    323,593x = 506,515 × 506,515
  4. Step 4: Simplify right side
    323,593x = 256,557,445,225
  5. Step 5: Solve for x
    x = 256,557,445,225/323,593
  6. Step 6: Final answer
    x = 792,839.91

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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.