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Finding the Third Proportional to 492,162.50 and 748,199.25

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Solution

The third proportional to 492,162.50 and 748,199.25 is: 1,137,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,162.50 : 748,199.25 = 748,199.25 : x
  2. Step 2: Convert to fraction form
    492,162.50/748,199.25 = 748,199.25/x
  3. Step 3: Cross multiply
    492,162.50x = 748,199.25 × 748,199.25
  4. Step 4: Simplify right side
    492,162.50x = 559,802,117,700.56
  5. Step 5: Solve for x
    x = 559,802,117,700.56/492,162.50
  6. Step 6: Final answer
    x = 1,137,433.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.