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Finding the Third Proportional to 385,350 and 613,696

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Solution

The third proportional to 385,350 and 613,696 is: 977,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,350 : 613,696 = 613,696 : x
  2. Step 2: Convert to fraction form
    385,350/613,696 = 613,696/x
  3. Step 3: Cross multiply
    385,350x = 613,696 × 613,696
  4. Step 4: Simplify right side
    385,350x = 376,622,780,416
  5. Step 5: Solve for x
    x = 376,622,780,416/385,350
  6. Step 6: Final answer
    x = 977,352.49

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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.