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Finding the Third Proportional to 490,460.06 and 748,399.50

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Solution

The third proportional to 490,460.06 and 748,399.50 is: 1,141,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,460.06 : 748,399.50 = 748,399.50 : x
  2. Step 2: Convert to fraction form
    490,460.06/748,399.50 = 748,399.50/x
  3. Step 3: Cross multiply
    490,460.06x = 748,399.50 × 748,399.50
  4. Step 4: Simplify right side
    490,460.06x = 560,101,811,600.25
  5. Step 5: Solve for x
    x = 560,101,811,600.25/490,460.06
  6. Step 6: Final answer
    x = 1,141,992.70

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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.