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Finding the Third Proportional to 307,300 and 480,999.50

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Solution

The third proportional to 307,300 and 480,999.50 is: 752,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,300 : 480,999.50 = 480,999.50 : x
  2. Step 2: Convert to fraction form
    307,300/480,999.50 = 480,999.50/x
  3. Step 3: Cross multiply
    307,300x = 480,999.50 × 480,999.50
  4. Step 4: Simplify right side
    307,300x = 231,360,519,000.25
  5. Step 5: Solve for x
    x = 231,360,519,000.25/307,300
  6. Step 6: Final answer
    x = 752,881.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.