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Finding the Third Proportional to 296,230.50 and 430,899.75

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Solution

The third proportional to 296,230.50 and 430,899.75 is: 626,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,230.50 : 430,899.75 = 430,899.75 : x
  2. Step 2: Convert to fraction form
    296,230.50/430,899.75 = 430,899.75/x
  3. Step 3: Cross multiply
    296,230.50x = 430,899.75 × 430,899.75
  4. Step 4: Simplify right side
    296,230.50x = 185,674,594,550.06
  5. Step 5: Solve for x
    x = 185,674,594,550.06/296,230.50
  6. Step 6: Final answer
    x = 626,790.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.