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Finding the Third Proportional to 335,379 and 492,376.50

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Solution

The third proportional to 335,379 and 492,376.50 is: 722,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,379 : 492,376.50 = 492,376.50 : x
  2. Step 2: Convert to fraction form
    335,379/492,376.50 = 492,376.50/x
  3. Step 3: Cross multiply
    335,379x = 492,376.50 × 492,376.50
  4. Step 4: Simplify right side
    335,379x = 242,434,617,752.25
  5. Step 5: Solve for x
    x = 242,434,617,752.25/335,379
  6. Step 6: Final answer
    x = 722,867.61

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Why These Related Problems?

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