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Finding the Third Proportional to 385,800 and 613,908

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Solution

The third proportional to 385,800 and 613,908 is: 976,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,800 : 613,908 = 613,908 : x
  2. Step 2: Convert to fraction form
    385,800/613,908 = 613,908/x
  3. Step 3: Cross multiply
    385,800x = 613,908 × 613,908
  4. Step 4: Simplify right side
    385,800x = 376,883,032,464
  5. Step 5: Solve for x
    x = 376,883,032,464/385,800
  6. Step 6: Final answer
    x = 976,887.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.