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Finding the Third Proportional to 385,269.33 and 613,583.23

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Solution

The third proportional to 385,269.33 and 613,583.23 is: 977,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,269.33 : 613,583.23 = 613,583.23 : x
  2. Step 2: Convert to fraction form
    385,269.33/613,583.23 = 613,583.23/x
  3. Step 3: Cross multiply
    385,269.33x = 613,583.23 × 613,583.23
  4. Step 4: Simplify right side
    385,269.33x = 376,484,375,918.85
  5. Step 5: Solve for x
    x = 376,484,375,918.85/385,269.33
  6. Step 6: Final answer
    x = 977,197.89

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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.