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Finding the Third Proportional to 264,770 and 404,082

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Solution

The third proportional to 264,770 and 404,082 is: 616,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,770 : 404,082 = 404,082 : x
  2. Step 2: Convert to fraction form
    264,770/404,082 = 404,082/x
  3. Step 3: Cross multiply
    264,770x = 404,082 × 404,082
  4. Step 4: Simplify right side
    264,770x = 163,282,262,724
  5. Step 5: Solve for x
    x = 163,282,262,724/264,770
  6. Step 6: Final answer
    x = 616,694.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.