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Finding the Third Proportional to 386,446.78 and 568,123.03

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Solution

The third proportional to 386,446.78 and 568,123.03 is: 835,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,446.78 : 568,123.03 = 568,123.03 : x
  2. Step 2: Convert to fraction form
    386,446.78/568,123.03 = 568,123.03/x
  3. Step 3: Cross multiply
    386,446.78x = 568,123.03 × 568,123.03
  4. Step 4: Simplify right side
    386,446.78x = 322,763,778,636.69
  5. Step 5: Solve for x
    x = 322,763,778,636.69/386,446.78
  6. Step 6: Final answer
    x = 835,208.87

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.