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Finding the Third Proportional to 323,597 and 506,519

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Solution

The third proportional to 323,597 and 506,519 is: 792,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,597 : 506,519 = 506,519 : x
  2. Step 2: Convert to fraction form
    323,597/506,519 = 506,519/x
  3. Step 3: Cross multiply
    323,597x = 506,519 × 506,519
  4. Step 4: Simplify right side
    323,597x = 256,561,497,361
  5. Step 5: Solve for x
    x = 256,561,497,361/323,597
  6. Step 6: Final answer
    x = 792,842.63

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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.