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Finding the Third Proportional to 377,469 and 550,633.50

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Solution

The third proportional to 377,469 and 550,633.50 is: 803,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,469 : 550,633.50 = 550,633.50 : x
  2. Step 2: Convert to fraction form
    377,469/550,633.50 = 550,633.50/x
  3. Step 3: Cross multiply
    377,469x = 550,633.50 × 550,633.50
  4. Step 4: Simplify right side
    377,469x = 303,197,251,322.25
  5. Step 5: Solve for x
    x = 303,197,251,322.25/377,469
  6. Step 6: Final answer
    x = 803,237.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.