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Finding the Third Proportional to 490,119 and 749,593.50

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Solution

The third proportional to 490,119 and 749,593.50 is: 1,146,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,119 : 749,593.50 = 749,593.50 : x
  2. Step 2: Convert to fraction form
    490,119/749,593.50 = 749,593.50/x
  3. Step 3: Cross multiply
    490,119x = 749,593.50 × 749,593.50
  4. Step 4: Simplify right side
    490,119x = 561,890,415,242.25
  5. Step 5: Solve for x
    x = 561,890,415,242.25/490,119
  6. Step 6: Final answer
    x = 1,146,436.71

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.