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Finding the Third Proportional to 482,899.50 and 768,678.75

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Solution

The third proportional to 482,899.50 and 768,678.75 is: 1,223,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,899.50 : 768,678.75 = 768,678.75 : x
  2. Step 2: Convert to fraction form
    482,899.50/768,678.75 = 768,678.75/x
  3. Step 3: Cross multiply
    482,899.50x = 768,678.75 × 768,678.75
  4. Step 4: Simplify right side
    482,899.50x = 590,867,020,701.56
  5. Step 5: Solve for x
    x = 590,867,020,701.56/482,899.50
  6. Step 6: Final answer
    x = 1,223,581.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.