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Finding the Third Proportional to 368,405.50 and 553,977

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Solution

The third proportional to 368,405.50 and 553,977 is: 833,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,405.50 : 553,977 = 553,977 : x
  2. Step 2: Convert to fraction form
    368,405.50/553,977 = 553,977/x
  3. Step 3: Cross multiply
    368,405.50x = 553,977 × 553,977
  4. Step 4: Simplify right side
    368,405.50x = 306,890,516,529
  5. Step 5: Solve for x
    x = 306,890,516,529/368,405.50
  6. Step 6: Final answer
    x = 833,023.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.