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Finding the Third Proportional to 762,900.50 and 1,120,995.75

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Solution

The third proportional to 762,900.50 and 1,120,995.75 is: 1,647,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,900.50 : 1,120,995.75 = 1,120,995.75 : x
  2. Step 2: Convert to fraction form
    762,900.50/1,120,995.75 = 1,120,995.75/x
  3. Step 3: Cross multiply
    762,900.50x = 1,120,995.75 × 1,120,995.75
  4. Step 4: Simplify right side
    762,900.50x = 1,256,631,471,518.06
  5. Step 5: Solve for x
    x = 1,256,631,471,518.06/762,900.50
  6. Step 6: Final answer
    x = 1,647,176.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.