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Finding the Third Proportional to 323,778 and 506,802

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Solution

The third proportional to 323,778 and 506,802 is: 793,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,778 : 506,802 = 506,802 : x
  2. Step 2: Convert to fraction form
    323,778/506,802 = 506,802/x
  3. Step 3: Cross multiply
    323,778x = 506,802 × 506,802
  4. Step 4: Simplify right side
    323,778x = 256,848,267,204
  5. Step 5: Solve for x
    x = 256,848,267,204/323,778
  6. Step 6: Final answer
    x = 793,285.11

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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.