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Finding the Third Proportional to 323,608 and 506,539

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Solution

The third proportional to 323,608 and 506,539 is: 792,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,608 : 506,539 = 506,539 : x
  2. Step 2: Convert to fraction form
    323,608/506,539 = 506,539/x
  3. Step 3: Cross multiply
    323,608x = 506,539 × 506,539
  4. Step 4: Simplify right side
    323,608x = 256,581,758,521
  5. Step 5: Solve for x
    x = 256,581,758,521/323,608
  6. Step 6: Final answer
    x = 792,878.29

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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.