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Finding the Third Proportional to 384,135.75 and 553,321.13

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Solution

The third proportional to 384,135.75 and 553,321.13 is: 797,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,135.75 : 553,321.13 = 553,321.13 : x
  2. Step 2: Convert to fraction form
    384,135.75/553,321.13 = 553,321.13/x
  3. Step 3: Cross multiply
    384,135.75x = 553,321.13 × 553,321.13
  4. Step 4: Simplify right side
    384,135.75x = 306,164,267,371.27
  5. Step 5: Solve for x
    x = 306,164,267,371.27/384,135.75
  6. Step 6: Final answer
    x = 797,021.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.