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Finding the Third Proportional to 763,222.50 and 1,121,505.75

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Solution

The third proportional to 763,222.50 and 1,121,505.75 is: 1,647,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,222.50 : 1,121,505.75 = 1,121,505.75 : x
  2. Step 2: Convert to fraction form
    763,222.50/1,121,505.75 = 1,121,505.75/x
  3. Step 3: Cross multiply
    763,222.50x = 1,121,505.75 × 1,121,505.75
  4. Step 4: Simplify right side
    763,222.50x = 1,257,775,147,283.06
  5. Step 5: Solve for x
    x = 1,257,775,147,283.06/763,222.50
  6. Step 6: Final answer
    x = 1,647,979.65

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Why These Related Problems?

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