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Finding the Third Proportional to 459,760 and 613,608

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Solution

The third proportional to 459,760 and 613,608 is: 818,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,760 : 613,608 = 613,608 : x
  2. Step 2: Convert to fraction form
    459,760/613,608 = 613,608/x
  3. Step 3: Cross multiply
    459,760x = 613,608 × 613,608
  4. Step 4: Simplify right side
    459,760x = 376,514,777,664
  5. Step 5: Solve for x
    x = 376,514,777,664/459,760
  6. Step 6: Final answer
    x = 818,937.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.